Pith Number

pith:PRQ4O5LJ

pith:1998:PRQ4O5LJYBT5UM43WUWJA4RNZK

not attested not anchored not stored refs pending

The restriction of the Ising model to a layer

A. Van Moffaert, C. Maes, F. Redig

arxiv:math/9810094 v1 · 1998-10-15 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRQ4O5LJYBT5UM43WUWJA4RNZK}

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	2026-05-18T01:38:22.750968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c61c77569c067da339bb52c90722dca88ecfa5d30f7416493f31e90d88220b2

Aliases

arxiv: math/9810094 · arxiv_version: math/9810094v1 · doi: 10.48550/arxiv.math/9810094 · pith_short_12: PRQ4O5LJYBT5 · pith_short_16: PRQ4O5LJYBT5UM43 · pith_short_8: PRQ4O5LJ

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/PRQ4O5LJYBT5UM43WUWJA4RNZK \
  | 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: 7c61c77569c067da339bb52c90722dca88ecfa5d30f7416493f31e90d88220b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "102c7c8e7f7f26f04155578f8ffd6f7b6293dfaf183e44af03700953cea54bfd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "1998-10-15T09:49:46Z",
    "title_canon_sha256": "4170c3e6211b71d719f7c0588cf4ce4b83e5564d12330176fe7dc5c7e5daad51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9810094",
    "kind": "arxiv",
    "version": 1
  }
}