Pith Number

pith:4EWURG3I

pith:2013:4EWURG3IDBVHRV2QAMFAWASFQP

not attested not anchored not stored refs pending

Hypergraph Tur\'an numbers of vertex disjoint cycles

Ran Gu, Xueliang Li, Yongtang Shi

arxiv:1305.5372 v1 · 2013-05-23 · 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{4EWURG3IDBVHRV2QAMFAWASFQP}

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	2026-05-18T03:25:04.952404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e12d489b68186a78d750030a0b024583facb468a8757595305c1127eb9aab04e

Aliases

arxiv: 1305.5372 · arxiv_version: 1305.5372v1 · doi: 10.48550/arxiv.1305.5372 · pith_short_12: 4EWURG3IDBVH · pith_short_16: 4EWURG3IDBVHRV2Q · pith_short_8: 4EWURG3I

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/4EWURG3IDBVHRV2QAMFAWASFQP \
  | 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: e12d489b68186a78d750030a0b024583facb468a8757595305c1127eb9aab04e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d45454592a4bbdc0adf5e755385fb38d4f03972e5a8efaeb264601dbe91ca90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-23T10:43:41Z",
    "title_canon_sha256": "2a9224d02087e1ab12adf068b420e51c6092f230181829ce3d0374deff4de21d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5372",
    "kind": "arxiv",
    "version": 1
  }
}