Pith Number

pith:K72MNPYA

pith:2008:K72MNPYAJ2IBRYJDZRORPIJWUY

not attested not anchored not stored refs pending

Fluctuations of the partition function in the GREM with external field

Anton Bovier, Anton Klimovsky

arxiv:0805.1478 v1 · 2008-05-10 · math.PR · 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{K72MNPYAJ2IBRYJDZRORPIJWUY}

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	2026-05-18T02:59:45.781050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57f4c6bf004e9018e123cc5d17a136a607286ae86dfa7a5257dd6e5d6d022ff8

Aliases

arxiv: 0805.1478 · arxiv_version: 0805.1478v1 · doi: 10.48550/arxiv.0805.1478 · pith_short_12: K72MNPYAJ2IB · pith_short_16: K72MNPYAJ2IBRYJD · pith_short_8: K72MNPYA

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/K72MNPYAJ2IBRYJDZRORPIJWUY \
  | 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: 57f4c6bf004e9018e123cc5d17a136a607286ae86dfa7a5257dd6e5d6d022ff8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86a3f475edad6fc13f6305b289a053f096050092f038fafa22444938d07416d7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-05-10T15:10:54Z",
    "title_canon_sha256": "f04b4731cb933ea1403eb66bbfe609104f2131d1b717213a486998a098599954"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.1478",
    "kind": "arxiv",
    "version": 1
  }
}