Pith Number

pith:6CF6XYYZ

pith:2023:6CF6XYYZ2RCQ3LBKXDN6T4SFHD

not attested not anchored not stored refs pending

The Analogue of Aldous' spectral gap conjecture for the generalized exclusion process

Hidetada Wachi, Kazuna Kanegae

arxiv:2309.15524 v3 · 2023-09-27 · 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{6CF6XYYZ2RCQ3LBKXDN6T4SFHD}

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

Cutoff for congestion dynamics and related generalized exclusion processes

Receipt and verification

First computed	2026-07-05T10:02:00.682574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f08bebe319d4450dac2ab8dbe9f24538ffb4059c2199ba1b83682194aa81a153

Aliases

arxiv: 2309.15524 · arxiv_version: 2309.15524v3 · doi: 10.48550/arxiv.2309.15524 · pith_short_12: 6CF6XYYZ2RCQ · pith_short_16: 6CF6XYYZ2RCQ3LBK · pith_short_8: 6CF6XYYZ

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/6CF6XYYZ2RCQ3LBKXDN6T4SFHD \
  | 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: f08bebe319d4450dac2ab8dbe9f24538ffb4059c2199ba1b83682194aa81a153

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8c2266c7da6fbfc03f1f300e70483dca62cbf3a0611595b99108d3166a33f7e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-09-27T09:41:43Z",
    "title_canon_sha256": "2eaef617d46d7e75919c198de5f2aa6f8345e4d389b44c87b32eea659b70c207"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.15524",
    "kind": "arxiv",
    "version": 3
  }
}