Pith Number

pith:DQAPGZ4W

pith:2023:DQAPGZ4W7JL7HUJS2RD6TRKDBI

not attested not anchored not stored refs pending

Irreducibility of Markov Chains on simplicial complexes, the Spectrum of the Discrete Hodge Laplacian and Homology

Marzieh Eidi, Sayan Mukherjee

arxiv:2310.07912 v2 · 2023-10-11 · math.SP · math.AT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DQAPGZ4W7JL7HUJS2RD6TRKDBI}

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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

Finding the Cores of Higher Graphs Using Geometric and Topological Means: A Survey

Receipt and verification

First computed	2026-07-05T07:14:18.672721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c00f36796fa57f3d132d447e9c5430a1104079a803ced4a064babe45cdfb714

Aliases

arxiv: 2310.07912 · arxiv_version: 2310.07912v2 · doi: 10.48550/arxiv.2310.07912 · pith_short_12: DQAPGZ4W7JL7 · pith_short_16: DQAPGZ4W7JL7HUJS · pith_short_8: DQAPGZ4W

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/DQAPGZ4W7JL7HUJS2RD6TRKDBI \
  | 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: 1c00f36796fa57f3d132d447e9c5430a1104079a803ced4a064babe45cdfb714

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78b1e443aa08e1d3c85628f5844f73c03f7f48f0e7c059c14b224865cb9d0002",
    "cross_cats_sorted": [
      "math.AT",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2023-10-11T21:41:31Z",
    "title_canon_sha256": "f558fcf293ed38900dd4361ba1023b8444a03968a2cdcf64d0b9b2b7974188b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.07912",
    "kind": "arxiv",
    "version": 2
  }
}