Pith Number

pith:QYFXLS4P

pith:2013:QYFXLS4PDZJWRQYDLJDEFAEQDN

not attested not anchored not stored refs pending

On a game on graphs

Felix G\"unther, Irina Mustata

arxiv:1302.5711 v1 · 2013-02-22 · math.CO · cs.DM · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QYFXLS4PDZJWRQYDLJDEFAEQDN}

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	2026-05-18T03:32:44.150710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

860b75cb8f1e5368c3035a464280901b5ea8e4063405194d217f9e0fe91bdeb9

Aliases

arxiv: 1302.5711 · arxiv_version: 1302.5711v1 · doi: 10.48550/arxiv.1302.5711 · pith_short_12: QYFXLS4PDZJW · pith_short_16: QYFXLS4PDZJWRQYD · pith_short_8: QYFXLS4P

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/QYFXLS4PDZJWRQYDLJDEFAEQDN \
  | 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: 860b75cb8f1e5368c3035a464280901b5ea8e4063405194d217f9e0fe91bdeb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab47f7c1f144d57ee6ae0307a13b72321f1f2019998c593a45b270a7fa274650",
    "cross_cats_sorted": [
      "cs.DM",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-22T21:06:48Z",
    "title_canon_sha256": "14548c4213156da3e73fa10b844d6c5f047b1cb267c82152fe31b1744f1bb10b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5711",
    "kind": "arxiv",
    "version": 1
  }
}