Pith Number

pith:X3VWHPG6

pith:2009:X3VWHPG6YSC6XP4JITDXF5DSE7

not attested not anchored not stored refs pending

Thermodynamic Limit for the Mallows Model on $S_n$

Shannon Starr

arxiv:0904.0696 v2 · 2009-04-04 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3VWHPG6YSC6XP4JITDXF5DSE7}

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	2026-05-18T02:14:07.549675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beeb63bcdec485ebbf8944c772f47227d1bd993ed97d74c5a1739c88eae21ab1

Aliases

arxiv: 0904.0696 · arxiv_version: 0904.0696v2 · doi: 10.48550/arxiv.0904.0696 · pith_short_12: X3VWHPG6YSC6 · pith_short_16: X3VWHPG6YSC6XP4J · pith_short_8: X3VWHPG6

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/X3VWHPG6YSC6XP4JITDXF5DSE7 \
  | 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: beeb63bcdec485ebbf8944c772f47227d1bd993ed97d74c5a1739c88eae21ab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "598c1f7a8119cf175d22c6b1513baed6c64c59435e04ef78dd7393a5c49ec232",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-04-04T20:18:04Z",
    "title_canon_sha256": "4f35b45f1f3f3ce2c5d5aeb9f1bd277ec0eecf51d5ed1282562f72deb0028d23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0696",
    "kind": "arxiv",
    "version": 2
  }
}