Pith Number

pith:263BY2AJ

pith:2013:263BY2AJK6A2AOS77MXC6HCYOV

not attested not anchored not stored refs pending

Asymptotic enumeration of sparse uniform hypergraphs with given degrees

Catherine Greenhill, Vladimir Blinovsky

arxiv:1306.2012 v3 · 2013-06-09 · 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{263BY2AJK6A2AOS77MXC6HCYOV}

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	2026-05-18T01:37:05.951027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7b61c68095781a03a5ffb2e2f1c58756b7049965591083f02cbb94fa5f9583f

Aliases

arxiv: 1306.2012 · arxiv_version: 1306.2012v3 · doi: 10.48550/arxiv.1306.2012 · pith_short_12: 263BY2AJK6A2 · pith_short_16: 263BY2AJK6A2AOS7 · pith_short_8: 263BY2AJ

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/263BY2AJK6A2AOS77MXC6HCYOV \
  | 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: d7b61c68095781a03a5ffb2e2f1c58756b7049965591083f02cbb94fa5f9583f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72969ca9f8459498708b814b3bbd7b400c213e6b06c97b817183e773221e7c2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-09T12:33:03Z",
    "title_canon_sha256": "e7d2360328e39dd2a188a27a86edb758a5ea60cd2ea52a3af5419b5468da72f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2012",
    "kind": "arxiv",
    "version": 3
  }
}