Pith Number

pith:IPCMIEPS

pith:2003:IPCMIEPSX2EOIKMZXPQGACP3HG

not attested not anchored not stored refs pending

Glauber Dynamics on Trees and Hyperbolic Graphs

Claire Kenyon, Elchanan Mossel, Noam Berger, Yuval Peres

arxiv:math/0308284 v3 · 2003-08-28 · 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{IPCMIEPSX2EOIKMZXPQGACP3HG}

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	2026-05-18T01:05:28.680408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43c4c411f2be88e42999bbe06009fb39a1a3c1238b1b1879572ad032c6064568

Aliases

arxiv: math/0308284 · arxiv_version: math/0308284v3 · doi: 10.48550/arxiv.math/0308284 · pith_short_12: IPCMIEPSX2EO · pith_short_16: IPCMIEPSX2EOIKMZ · pith_short_8: IPCMIEPS

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/IPCMIEPSX2EOIKMZXPQGACP3HG \
  | 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: 43c4c411f2be88e42999bbe06009fb39a1a3c1238b1b1879572ad032c6064568

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38556683b18202b12cfff9a1649b8094106a9b5a8ad3316bad3cbb782c5f1547",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2003-08-28T20:13:52Z",
    "title_canon_sha256": "0c72dc284e943c67e00efe05f8b2b85fa1b1686875b96d8267c3ba8d549bf6f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0308284",
    "kind": "arxiv",
    "version": 3
  }
}