Pith Number

pith:HACPES4Q

pith:2011:HACPES4QIWJBTJTIOJPXICRNV7

not attested not anchored not stored refs pending

Lipschitz Games

Eran Shmaya, Yaron Azrieli

arxiv:1107.1520 v2 · 2011-07-07 · math.CO · 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{HACPES4QIWJBTJTIOJPXICRNV7}

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	2026-05-18T03:12:46.722921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3804f24b90459219a668725f740a2dafe59f586f0291f3551e02bd50eec030ae

Aliases

arxiv: 1107.1520 · arxiv_version: 1107.1520v2 · doi: 10.48550/arxiv.1107.1520 · pith_short_12: HACPES4QIWJB · pith_short_16: HACPES4QIWJBTJTI · pith_short_8: HACPES4Q

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/HACPES4QIWJBTJTIOJPXICRNV7 \
  | 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: 3804f24b90459219a668725f740a2dafe59f586f0291f3551e02bd50eec030ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ada1fee815cf43c6710a31969ee1778f772b9a452ba8e4d347a7b340a10e50e6",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-07T21:03:06Z",
    "title_canon_sha256": "c8f3df37d747a3afc1bbf87cb3b077e0293409c6033bf1787d3e356831721c91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1520",
    "kind": "arxiv",
    "version": 2
  }
}