Pith Number

pith:GORVI52R

pith:2023:GORVI52RG3XHFCZ5JMH5GUDJ26

not attested not anchored not stored refs pending

Spectral gap of nonreversible Markov chains

Sourav Chatterjee

arxiv:2310.10876 v3 · 2023-10-16 · math.PR · math.CO · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GORVI52RG3XHFCZ5JMH5GUDJ26}

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.

Cited by

1 paper in Pith

Microscopic Theory of Light-Induced Coherent Phonons Mediated by Quantum Geometry

Receipt and verification

First computed	2026-07-05T09:56:48.151002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33a354775136ee728b3d4b0fd35069d7869ee35d1c33128e6dfef746511e4556

Aliases

arxiv: 2310.10876 · arxiv_version: 2310.10876v3 · doi: 10.48550/arxiv.2310.10876 · pith_short_12: GORVI52RG3XH · pith_short_16: GORVI52RG3XHFCZ5 · pith_short_8: GORVI52R

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/GORVI52RG3XHFCZ5JMH5GUDJ26 \
  | 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: 33a354775136ee728b3d4b0fd35069d7869ee35d1c33128e6dfef746511e4556

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64597ca61bd78912079f712c329bbb6d942f23193dd1ab431a3c144073902caf",
    "cross_cats_sorted": [
      "math.CO",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-10-16T23:06:05Z",
    "title_canon_sha256": "63264e914f1fdef884d26560c287ee0d46ab7c1a5753f1945c559ebc27ba3fa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.10876",
    "kind": "arxiv",
    "version": 3
  }
}