Pith Number

pith:24ENRZFX

pith:2002:24ENRZFXNXXUXLN4RALBTDQ4JA

not attested not anchored not stored refs pending

Geometry of contours and Peierls estimates in d=1 Ising models

E. Presutti, I. Merola, M. Cassandro, P.A. Ferrari

arxiv:math-ph/0211062 v2 · 2002-11-25 · math-ph · math.MP · 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{24ENRZFXNXXUXLN4RALBTDQ4JA}

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	2026-05-18T04:08:53.871739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d708d8e4b76def4badbc8816198e1c4809a0b583e979a8ae1912c2d86d7d839c

Aliases

arxiv: math-ph/0211062 · arxiv_version: math-ph/0211062v2 · doi: 10.48550/arxiv.math-ph/0211062 · pith_short_12: 24ENRZFXNXXU · pith_short_16: 24ENRZFXNXXUXLN4 · pith_short_8: 24ENRZFX

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/24ENRZFXNXXUXLN4RALBTDQ4JA \
  | 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: d708d8e4b76def4badbc8816198e1c4809a0b583e979a8ae1912c2d86d7d839c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4fa48051999d179448c3c668027095433818522b02b58c4168fd21498d36960",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-11-25T12:46:24Z",
    "title_canon_sha256": "68da3045983e6e21532e0b3ffa0a8a4f4f4f8e8ca51c823f1c4156c654ba960e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0211062",
    "kind": "arxiv",
    "version": 2
  }
}