Pith Number

pith:UTM7RF3I

pith:2013:UTM7RF3I2V7CG6WR7UVAEDFJRJ

not attested not anchored not stored refs pending

The 1-2-3 Conjecture for Hypergraphs

Florian Pfender, Maciej Kalkowski, Micha{\l} Karo\'nski

arxiv:1308.0611 v2 · 2013-08-02 · 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{UTM7RF3I2V7CG6WR7UVAEDFJRJ}

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	2026-05-18T01:14:29.794559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4d9f89768d57e237ad1fd2a020ca98a5f658272a8979b827ec0a08b50707b34

Aliases

arxiv: 1308.0611 · arxiv_version: 1308.0611v2 · doi: 10.48550/arxiv.1308.0611 · pith_short_12: UTM7RF3I2V7C · pith_short_16: UTM7RF3I2V7CG6WR · pith_short_8: UTM7RF3I

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/UTM7RF3I2V7CG6WR7UVAEDFJRJ \
  | 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: a4d9f89768d57e237ad1fd2a020ca98a5f658272a8979b827ec0a08b50707b34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d0abd9ad1d936f577af25fc277ab5c06d0cc2f9efcf5762d7a294aa40217052",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-02T20:14:52Z",
    "title_canon_sha256": "9b2603b9f9999a5f1989f2a3efc3db2042d6a301e34f4aaa83933c9aa58b6f71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0611",
    "kind": "arxiv",
    "version": 2
  }
}