Pith Number

pith:ZHYCHQBW

pith:2015:ZHYCHQBWQBZ4DUXJ33AA2YD6QP

not attested not anchored not stored refs pending

Convex duality with transaction costs

H. Mete Soner, Yan Dolinsky

arxiv:1502.01735 v2 · 2015-02-05 · 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{ZHYCHQBWQBZ4DUXJ33AA2YD6QP}

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	2026-05-18T01:29:54.585030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9f023c0368073c1d2e9dec00d607e83ee7f6991871f7072916ffac20aaa941e

Aliases

arxiv: 1502.01735 · arxiv_version: 1502.01735v2 · doi: 10.48550/arxiv.1502.01735 · pith_short_12: ZHYCHQBWQBZ4 · pith_short_16: ZHYCHQBWQBZ4DUXJ · pith_short_8: ZHYCHQBW

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/ZHYCHQBWQBZ4DUXJ33AA2YD6QP \
  | 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: c9f023c0368073c1d2e9dec00d607e83ee7f6991871f7072916ffac20aaa941e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "271e44adf7348514f33ee5b1d535cf4e9c145e9ad44c66b6ad7305b33a62c997",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2015-02-05T21:34:29Z",
    "title_canon_sha256": "95b8a341548175d554909d4acf6dbbb980b3295189f35cb4ac35c3fa03fe0bac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01735",
    "kind": "arxiv",
    "version": 2
  }
}