Pith Number

pith:PVAGTO3J

pith:2014:PVAGTO3JIQJNF3PMX6QB5XK2QW

not attested not anchored not stored refs pending

An extension of Mantel's theorem to random 4-uniform hypergraphs

Kang Yang, Ran Gu, Xueliang Li, Yongtang Shi, Zhongmei Qin

arxiv:1411.3504 v1 · 2014-11-13 · 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{PVAGTO3JIQJNF3PMX6QB5XK2QW}

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	2026-05-18T02:37:43.592524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d4069bb694412d2edecbfa01edd5a85a69d2d5dbdc06df79c6f7dc1298df5c8

Aliases

arxiv: 1411.3504 · arxiv_version: 1411.3504v1 · doi: 10.48550/arxiv.1411.3504 · pith_short_12: PVAGTO3JIQJN · pith_short_16: PVAGTO3JIQJNF3PM · pith_short_8: PVAGTO3J

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/PVAGTO3JIQJNF3PMX6QB5XK2QW \
  | 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: 7d4069bb694412d2edecbfa01edd5a85a69d2d5dbdc06df79c6f7dc1298df5c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e64a4614fd9c8c038ac0643b5d3c29620a7f88784c08a42817c6b93c452ed10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-11-13T11:22:58Z",
    "title_canon_sha256": "a3c1a128ff04c37e1b56d7ba14bcf3aae9c52b31cdaadda4353a4dde35a15471"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3504",
    "kind": "arxiv",
    "version": 1
  }
}