Pith Number

pith:4FFE6CB6

pith:2008:4FFE6CB6NRC7JLWMPLJ3YAON76

not attested not anchored not stored refs pending

Critical exponents for the homology of Fortuin-Kasteleyn clusters on a torus

Alexi Morin-Duchesne, Yvan Saint-Aubin

arxiv:0812.2925 v2 · 2008-12-15 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4FFE6CB6NRC7JLWMPLJ3YAON76}

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	2026-05-18T04:37:20.884863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e14a4f083e6c45f4aecc7ad3bc01cdffbca421fd06657e98f690b84747e14edb

Aliases

arxiv: 0812.2925 · arxiv_version: 0812.2925v2 · doi: 10.48550/arxiv.0812.2925 · pith_short_12: 4FFE6CB6NRC7 · pith_short_16: 4FFE6CB6NRC7JLWM · pith_short_8: 4FFE6CB6

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/4FFE6CB6NRC7JLWMPLJ3YAON76 \
  | 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: e14a4f083e6c45f4aecc7ad3bc01cdffbca421fd06657e98f690b84747e14edb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac0e5adc3408e444f8399e56dde932148ff714931ee59adba6a7befa992aa223",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2008-12-15T22:03:59Z",
    "title_canon_sha256": "c5f549cd7f54bf59cf92a7e27db56a1c92afa52291ba76a5fde2f9e3f8ba4bf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2925",
    "kind": "arxiv",
    "version": 2
  }
}