Pith Number

pith:PM2NBO7O

pith:2012:PM2NBO7OVY5FBFHJ7YYYRIBQNX

not attested not anchored not stored refs pending

A note on a Broken-cycle Theorem for hypergraphs

Martin Trinks

arxiv:1209.5069 v1 · 2012-09-23 · 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{PM2NBO7OVY5FBFHJ7YYYRIBQNX}

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	2026-05-18T03:44:59.371966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b34d0bbeeae3a5094e9fe3188a0306de0a91ef543acd4f25c4ea04a2ded47d2

Aliases

arxiv: 1209.5069 · arxiv_version: 1209.5069v1 · doi: 10.48550/arxiv.1209.5069 · pith_short_12: PM2NBO7OVY5F · pith_short_16: PM2NBO7OVY5FBFHJ · pith_short_8: PM2NBO7O

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/PM2NBO7OVY5FBFHJ7YYYRIBQNX \
  | 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: 7b34d0bbeeae3a5094e9fe3188a0306de0a91ef543acd4f25c4ea04a2ded47d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cf225887549df842696b718d8f0be3dc847d4faa2fc5f7a75229d3be54da34f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-23T14:50:27Z",
    "title_canon_sha256": "53023c1186af225da5d35c35e74d4d956dba457e87160892e1abf3917f5cce9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5069",
    "kind": "arxiv",
    "version": 1
  }
}