Pith Number

pith:XC4PFJPP

pith:2018:XC4PFJPPXKSLZLENITV6BTZO5F

not attested not anchored not stored refs pending

Random Walks on Simplicial Complexes and the normalized Hodge 1-Laplacian

Ali Jadbabaie, Austin R. Benson, Gabor Lippner, Michael T. Schaub, Paul Horn

arxiv:1807.05044 v5 · 2018-07-13 · cs.SI · cs.DM · math.AT · physics.soc-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XC4PFJPPXKSLZLENITV6BTZO5F}

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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.

Cited by

1 paper in Pith

Simplex2Vec embeddings for community detection in simplicial complexes

Receipt and verification

First computed	2026-07-05T01:00:59.104707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8b8f2a5efbaa4bcac8d44ebe0cf2ee951dedb01291b124b383249e6d5654e3a

Aliases

arxiv: 1807.05044 · arxiv_version: 1807.05044v5 · doi: 10.48550/arxiv.1807.05044 · pith_short_12: XC4PFJPPXKSL · pith_short_16: XC4PFJPPXKSLZLEN · pith_short_8: XC4PFJPP

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/XC4PFJPPXKSLZLENITV6BTZO5F \
  | 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: b8b8f2a5efbaa4bcac8d44ebe0cf2ee951dedb01291b124b383249e6d5654e3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0d1923b234ef76d07be5cab7623909152f2ef06e9c2f5ee0570b970c2968a62",
    "cross_cats_sorted": [
      "cs.DM",
      "math.AT",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2018-07-13T13:05:07Z",
    "title_canon_sha256": "15bdfac1956b6875842a53c576f0433acbf4236a031f92967615a88eb33d7aa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05044",
    "kind": "arxiv",
    "version": 5
  }
}