Pith Number

pith:SH5UMCG7

pith:2013:SH5UMCG7S7R6FH42ZNJ2DXMHIN

not attested not anchored not stored refs pending

A Lower Bound on the Crossing Number of Uniform Hypergraphs

Anurag Anshu, Saswata Shannigrahi

arxiv:1309.3625 v2 · 2013-09-14 · 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{SH5UMCG7S7R6FH42ZNJ2DXMHIN}

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	2026-05-18T01:21:38.264498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91fb4608df97e3e29f9acb53a1dd87437c42f1f9b5da08a4b48e503daf3b3ccb

Aliases

arxiv: 1309.3625 · arxiv_version: 1309.3625v2 · doi: 10.48550/arxiv.1309.3625 · pith_short_12: SH5UMCG7S7R6 · pith_short_16: SH5UMCG7S7R6FH42 · pith_short_8: SH5UMCG7

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/SH5UMCG7S7R6FH42ZNJ2DXMHIN \
  | 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: 91fb4608df97e3e29f9acb53a1dd87437c42f1f9b5da08a4b48e503daf3b3ccb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffd3aa82efcb788ae0c24f8f32302a5b3fff92f8756b8d1072ea8632f2947c14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-14T04:29:01Z",
    "title_canon_sha256": "6318ac9a5666f57ad314a62036064f8384f6839b757d0fffdff26a12d515bd12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3625",
    "kind": "arxiv",
    "version": 2
  }
}