Pith Number

pith:KSJVSXF4

pith:2026:KSJVSXF4DK57MGIL2JN2RQ2YPC

not attested not anchored not stored refs pending

Aharanov-Bohm Type Arbitrage and Homological Obstructions in Financial Markets

Keisuke Hara, Takanori Adachi

Non-trivial holonomy in market filtrations converts into a predictable self-financing trading strategy under admissibility conditions.

arxiv:2604.10492 v3 · 2026-04-12 · q-fin.MF

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KSJVSXF4DK57MGIL2JN2RQ2YPC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

Under suitable admissibility conditions, non-trivial holonomy can be converted into a predictable self-financing trading strategy.

C2weakest assumption

That the multiplicative distortion dF(i) induced by the conditional expectation functor has direct economic meaning as arbitrage and that the holonomy along loops in the time category T corresponds to a realizable trading opportunity rather than a purely formal quantity.

C3one line summary

Non-trivial holonomy of the multiplicative distortion induced by the conditional expectation functor on a market filtration corresponds to Aharonov-Bohm arbitrage realizable as a self-financing trading strategy under admissibility conditions.

Cited by

2 papers in Pith

Martingale Cohomology, Holonomy, and Homological Arbitrage

Receipt and verification

First computed	2026-05-29T02:05:44.725046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5493595cbc1abbf6190bd25ba8c358789893f888a0352062bcd0d29cac82389a

Aliases

arxiv: 2604.10492 · arxiv_version: 2604.10492v3 · doi: 10.48550/arxiv.2604.10492 · pith_short_12: KSJVSXF4DK57 · pith_short_16: KSJVSXF4DK57MGIL · pith_short_8: KSJVSXF4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KSJVSXF4DK57MGIL2JN2RQ2YPC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5493595cbc1abbf6190bd25ba8c358789893f888a0352062bcd0d29cac82389a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cdf889ed1a8dc044fc241f8e52cd9c3a28301b014c1d495a2249078d78bbbde",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2026-04-12T06:51:08Z",
    "title_canon_sha256": "5fcf816627c5d2dbd119991bf55b790abf8e505bbdea5e0863e8990fe9470a08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.10492",
    "kind": "arxiv",
    "version": 3
  }
}