Pith Number

pith:OTCGZR53

pith:2014:OTCGZR536SMTEOTSWMK77COKH4

not attested not anchored not stored refs pending

Saturation numbers in tripartite graphs

Eric Sullivan, Paul S. Wenger

arxiv:1408.5927 v1 · 2014-08-25 · 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{OTCGZR536SMTEOTSWMK77COKH4}

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	2026-05-18T02:44:15.823451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74c46cc7bbf499323a72b315ff89ca3f06b3b26ce08d73adaed9b58f2d68477e

Aliases

arxiv: 1408.5927 · arxiv_version: 1408.5927v1 · doi: 10.48550/arxiv.1408.5927 · pith_short_12: OTCGZR536SMT · pith_short_16: OTCGZR536SMTEOTS · pith_short_8: OTCGZR53

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/OTCGZR536SMTEOTSWMK77COKH4 \
  | 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: 74c46cc7bbf499323a72b315ff89ca3f06b3b26ce08d73adaed9b58f2d68477e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea454d2827c11158ca37f13b921532a260199470602a65296c1f8a6b0e96da37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-25T20:55:20Z",
    "title_canon_sha256": "5cf7d447aa48d8a9e0d25df96daf75c84d0e8aa86cf42ca827978538ae62835c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5927",
    "kind": "arxiv",
    "version": 1
  }
}