Pith Number

pith:KXIB3HK2

pith:2017:KXIB3HK2DU4O56CUO75Q7HPKYC

not attested not anchored not stored refs pending

Equilibrium Returns with Transaction Costs

Bruno Bouchard (CEREMADE), Johannes Muhle-Karbe, Martin Herdegen, Masaaki Fukasawa

arxiv:1707.08464 v4 · 2017-07-26 · q-fin.PM · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KXIB3HK2DU4O56CUO75Q7HPKYC}

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.

Receipt and verification

First computed	2026-05-18T00:19:13.903164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55d01d9d5a1d38eef85477fb0f9deac0accc5f607c049527e35c12cc3a178c8d

Aliases

arxiv: 1707.08464 · arxiv_version: 1707.08464v4 · doi: 10.48550/arxiv.1707.08464 · pith_short_12: KXIB3HK2DU4O · pith_short_16: KXIB3HK2DU4O56CU · pith_short_8: KXIB3HK2

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/KXIB3HK2DU4O56CUO75Q7HPKYC \
  | 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: 55d01d9d5a1d38eef85477fb0f9deac0accc5f607c049527e35c12cc3a178c8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e45f82c8bed2cc372435a14601842fd52b7af9840b534680504b277c35cd4c23",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2017-07-26T14:32:33Z",
    "title_canon_sha256": "9b684c6c4858d3b77d62116847b2d22fe2abe08df3995976a6a1694a4d0368d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08464",
    "kind": "arxiv",
    "version": 4
  }
}