Pith Number

pith:JTUNHTJ6

pith:2014:JTUNHTJ6EJQPPAPEGLTOVPXLXG

not attested not anchored not stored refs pending

Asymptotic enumeration of sparse uniform linear hypergraphs with given degrees

Catherine Greenhill, Vladimir Blinovsky

arxiv:1409.1314 v3 · 2014-09-04 · 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{JTUNHTJ6EJQPPAPEGLTOVPXLXG}

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	2026-05-18T01:10:54.638939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ce8d3cd3e2260f781e432e6eabeebb9a40420e71e33a99f99604e37f3a319cb

Aliases

arxiv: 1409.1314 · arxiv_version: 1409.1314v3 · doi: 10.48550/arxiv.1409.1314 · pith_short_12: JTUNHTJ6EJQP · pith_short_16: JTUNHTJ6EJQPPAPE · pith_short_8: JTUNHTJ6

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/JTUNHTJ6EJQPPAPEGLTOVPXLXG \
  | 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: 4ce8d3cd3e2260f781e432e6eabeebb9a40420e71e33a99f99604e37f3a319cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1976d99b12cb2da3ed2b5947d147a0f1ccabc9c552fc8cd9ccb56d78776b8eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-04T03:42:48Z",
    "title_canon_sha256": "b0dc0d5bb7f7c37d03b5d8dde6e3923bda56a93f137eeeac0a1fa572493bfd2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1314",
    "kind": "arxiv",
    "version": 3
  }
}