Pith Number

pith:FKCROIPS

pith:2011:FKCROIPS4XMPJIAH7VIYDRV5H6

not attested not anchored not stored refs pending

Lines in hypergraphs

Adrian Bondy, Ehsan Chiniforooshan, Laurent Beaudou, Maria Chudnovsky, Nicolas Fraiman, Vasek Chvatal, Xiaomin Chen, Yori Zwols

arxiv:1112.0376 v1 · 2011-12-02 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FKCROIPS4XMPJIAH7VIYDRV5H6}

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	2026-05-18T02:40:54.442186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a851721f2e5d8f4a007fd5181c6bd3f8ac666fad87c91b6be2698eeabeb214b

Aliases

arxiv: 1112.0376 · arxiv_version: 1112.0376v1 · doi: 10.48550/arxiv.1112.0376 · pith_short_12: FKCROIPS4XMP · pith_short_16: FKCROIPS4XMPJIAH · pith_short_8: FKCROIPS

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/FKCROIPS4XMPJIAH7VIYDRV5H6 \
  | 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: 2a851721f2e5d8f4a007fd5181c6bd3f8ac666fad87c91b6be2698eeabeb214b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "445ea2d886bcd9a0df226a5c193118c73467054ac2cf9f4f7d70aa7e2e1e8975",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-02T02:51:37Z",
    "title_canon_sha256": "a5f74358e403902b8d0195b6675ba0ab4c1dbb7f0289575e35fbc9a0845859db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0376",
    "kind": "arxiv",
    "version": 1
  }
}