Pith Number

pith:7XCCA3PH

pith:2017:7XCCA3PHN4GXBGHBO6ISNCILHC

not attested not anchored not stored refs pending

Martingale optimal transport with stopping

Alexander Cox, Erhan Bayraktar, Yavor Stoev

arxiv:1701.06231 v4 · 2017-01-22 · 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{7XCCA3PHN4GXBGHBO6ISNCILHC}

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	2026-05-18T00:29:46.471078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdc4206de76f0d7098e1779126890b3885da60b06083623fa2937637122f2ac5

Aliases

arxiv: 1701.06231 · arxiv_version: 1701.06231v4 · doi: 10.48550/arxiv.1701.06231 · pith_short_12: 7XCCA3PHN4GX · pith_short_16: 7XCCA3PHN4GXBGHB · pith_short_8: 7XCCA3PH

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/7XCCA3PHN4GXBGHBO6ISNCILHC \
  | 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: fdc4206de76f0d7098e1779126890b3885da60b06083623fa2937637122f2ac5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d56e244b65d913cec8852252d1ec8dfcf8d1ba6771e49044b8bd49068caa1ca0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-01-22T23:02:26Z",
    "title_canon_sha256": "139bb2e8fdb1444373cb93abbae15a428a43f72506c2f15b6ba78e31b8a41664"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06231",
    "kind": "arxiv",
    "version": 4
  }
}