Pith Number

pith:CG2LDEP5

pith:2011:CG2LDEP5BVS4FX33USO3VTLQDX

not attested not anchored not stored refs pending

High-ordered Random Walks and Generalized Laplacians on Hypergraphs

Linyuan Lu, Xing Peng

arxiv:1102.4409 v1 · 2011-02-22 · 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{CG2LDEP5BVS4FX33USO3VTLQDX}

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	2026-05-18T04:28:09.025499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11b4b191fd0d65c2df7ba49dbacd701de7402b4213a7fc531bf444c25780c25c

Aliases

arxiv: 1102.4409 · arxiv_version: 1102.4409v1 · doi: 10.48550/arxiv.1102.4409 · pith_short_12: CG2LDEP5BVS4 · pith_short_16: CG2LDEP5BVS4FX33 · pith_short_8: CG2LDEP5

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/CG2LDEP5BVS4FX33USO3VTLQDX \
  | 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: 11b4b191fd0d65c2df7ba49dbacd701de7402b4213a7fc531bf444c25780c25c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4dc1877bd27a881e757c3575ef34aa7498a1c88f148511bf571e77554eb7c1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-22T05:08:38Z",
    "title_canon_sha256": "3cd2872f48ede01ec4d46f6aaac249875bf14ab2ae4cdf9bfd55155a326a332d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4409",
    "kind": "arxiv",
    "version": 1
  }
}