Pith Number

pith:WPATP2DQ

pith:2015:WPATP2DQWDLXYR6D7SYXZKVSVA

not attested not anchored not stored refs pending

Large Market Games with Near Optimal Efficiency

Richard Cole, Yixin Tao

arxiv:1508.07370 v5 · 2015-08-28 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WPATP2DQWDLXYR6D7SYXZKVSVA}

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	2026-05-18T00:27:57.789185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3c137e870b0d77c47c3fcb17caab2a81d080ea63a7a28a9ebaa7719d16ab1cd

Aliases

arxiv: 1508.07370 · arxiv_version: 1508.07370v5 · doi: 10.48550/arxiv.1508.07370 · pith_short_12: WPATP2DQWDLX · pith_short_16: WPATP2DQWDLXYR6D · pith_short_8: WPATP2DQ

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/WPATP2DQWDLXYR6D7SYXZKVSVA \
  | 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: b3c137e870b0d77c47c3fcb17caab2a81d080ea63a7a28a9ebaa7719d16ab1cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d509bf98f4674bd4e096021c614a430fcf307e787310515ce1908225f727a121",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2015-08-28T22:39:34Z",
    "title_canon_sha256": "9a58c508959908d15c750c6c51d01a8572afddfc10d59f913cbe2b120afc1737"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07370",
    "kind": "arxiv",
    "version": 5
  }
}