Pith Number

pith:GRQSJVD7

pith:1998:GRQSJVD7RR5E4XIS4R4CK2SDCZ

not attested not anchored not stored refs pending

Graphical Representations for Ising Systems in External Fields

J. Machta (UMass), L. Chayes (UCLA), O. Redner (Tubingen)

arxiv:cond-mat/9806312 v1 · 1998-06-25 · 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{GRQSJVD7RR5E4XIS4R4CK2SDCZ}

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	2026-07-04T16:08:03.739591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

346124d47f8c7a4e5d12e478256a43164a9c939418707b1eb16c940830d2f34b

Aliases

arxiv: cond-mat/9806312 · arxiv_version: cond-mat/9806312v1 · doi: 10.48550/arxiv.cond-mat/9806312 · pith_short_12: GRQSJVD7RR5E · pith_short_16: GRQSJVD7RR5E4XIS · pith_short_8: GRQSJVD7

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/GRQSJVD7RR5E4XIS4R4CK2SDCZ \
  | 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: 346124d47f8c7a4e5d12e478256a43164a9c939418707b1eb16c940830d2f34b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4fa7919da19a00df680fb02b6586240a94c4970351ed81814776c31030b6b76",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1998-06-25T21:06:00Z",
    "title_canon_sha256": "f9553ba3b59121d142af8d37485f6c142d187eb17c0a114d445e2b3a49528c9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9806312",
    "kind": "arxiv",
    "version": 1
  }
}