Pith Number

pith:SG3CCRSM

pith:1997:SG3CCRSMNK6O3YNDP4VHQUGPBE

not attested not anchored not stored refs pending

Replica Fourier Transforms on Ultrametric Trees, and Block-Diagonalizing Multi-Replica Matrices

C. De Dominicis, D.M. Carlucci, T. Temesvari

arxiv:cond-mat/9703132 v1 · 1997-03-13 · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SG3CCRSMNK6O3YNDP4VHQUGPBE}

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	2026-05-18T01:07:08.438500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91b621464c6abcede1a37f2a7850cf093bb8d196ea937f1d8d81a693fbaf2022

Aliases

arxiv: cond-mat/9703132 · arxiv_version: cond-mat/9703132v1 · doi: 10.48550/arxiv.cond-mat/9703132 · pith_short_12: SG3CCRSMNK6O · pith_short_16: SG3CCRSMNK6O3YND · pith_short_8: SG3CCRSM

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/SG3CCRSMNK6O3YNDP4VHQUGPBE \
  | 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: 91b621464c6abcede1a37f2a7850cf093bb8d196ea937f1d8d81a693fbaf2022

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc358fc3b2605ae588933a37d1c4727f4018260fd866b56c6219648db84ceb37",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "1997-03-13T14:06:19Z",
    "title_canon_sha256": "712c425a45c1db34a71c9b4f638b93bde823fb0d0fc1a48871fe797281de8aa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9703132",
    "kind": "arxiv",
    "version": 1
  }
}