Pith Number

pith:SEFB6MFH

pith:2015:SEFB6MFHD4S6VS356AFM4WAVSF

not attested not anchored not stored refs pending

Matching criticality in intersecting hypergraphs

Erfang Shan, Liying Kang, Zhenyu Ni

arxiv:1512.02871 v1 · 2015-12-09 · 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{SEFB6MFHD4S6VS356AFM4WAVSF}

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	2026-05-18T01:24:39.286932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

910a1f30a71f25eacb7df00ace58159154e30d531559686f0f58fe09a6215fd7

Aliases

arxiv: 1512.02871 · arxiv_version: 1512.02871v1 · doi: 10.48550/arxiv.1512.02871 · pith_short_12: SEFB6MFHD4S6 · pith_short_16: SEFB6MFHD4S6VS35 · pith_short_8: SEFB6MFH

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/SEFB6MFHD4S6VS356AFM4WAVSF \
  | 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: 910a1f30a71f25eacb7df00ace58159154e30d531559686f0f58fe09a6215fd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa2cb18c827e026982010c2e4b03fb07a647db87d13c617bd1fa918acf6b7583",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-09T14:25:16Z",
    "title_canon_sha256": "18dabeef1e661e1710b171e039f6c05ad486b3ce9208ec221e4aa31c20adbddf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02871",
    "kind": "arxiv",
    "version": 1
  }
}