Pith Number

pith:AIQSDWK5

pith:2014:AIQSDWK5WXXZZDQD6QZAFFPKEA

not attested not anchored not stored refs pending

Graph Saturation in Multipartite Graphs

Florian Pfender, Michael Ferrara, Michael S. Jacobson, Paul S. Wenger

arxiv:1408.3137 v1 · 2014-08-13 · 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{AIQSDWK5WXXZZDQD6QZAFFPKEA}

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	2026-05-18T02:45:13.717864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

022121d95db5ef9c8e03f4320295ea202039af2194370007e93498caf6c076e0

Aliases

arxiv: 1408.3137 · arxiv_version: 1408.3137v1 · doi: 10.48550/arxiv.1408.3137 · pith_short_12: AIQSDWK5WXXZ · pith_short_16: AIQSDWK5WXXZZDQD · pith_short_8: AIQSDWK5

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/AIQSDWK5WXXZZDQD6QZAFFPKEA \
  | 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: 022121d95db5ef9c8e03f4320295ea202039af2194370007e93498caf6c076e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b87c10902aa43feb411238512ec693f6e6a2e387ad1c8f842f330d0b13d521f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-13T20:31:10Z",
    "title_canon_sha256": "436d19802bdc7afc6e1124a342315f9630c7b614dfe1b302ccaf477639509168"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3137",
    "kind": "arxiv",
    "version": 1
  }
}