Pith Number

pith:CVDV6UXL

pith:2013:CVDV6UXLLLWBHLYFPFZ5JFBYLV

not attested not anchored not stored refs pending

A hypergraph Tur\'an theorem via lagrangians of intersecting families

Dan Hefetz, Peter Keevash

arxiv:1307.8423 v1 · 2013-07-31 · 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{CVDV6UXLLLWBHLYFPFZ5JFBYLV}

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	2026-05-18T03:17:01.185991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15475f52eb5aec13af057973d494385d4f773007e8789651fc0bce728a7b035d

Aliases

arxiv: 1307.8423 · arxiv_version: 1307.8423v1 · doi: 10.48550/arxiv.1307.8423 · pith_short_12: CVDV6UXLLLWB · pith_short_16: CVDV6UXLLLWBHLYF · pith_short_8: CVDV6UXL

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/CVDV6UXLLLWBHLYFPFZ5JFBYLV \
  | 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: 15475f52eb5aec13af057973d494385d4f773007e8789651fc0bce728a7b035d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73a8dd09b2e1585782330743b7871c1dd266f3262bce543728dfbf59af0f315f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-31T18:53:10Z",
    "title_canon_sha256": "ad6259da365e6b75f5c420cd0ccb46c697325b83e6340478b15a578ea45f8235"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8423",
    "kind": "arxiv",
    "version": 1
  }
}