Pith Number

pith:WKM66A2L

pith:2011:WKM66A2LPILM6J2ZAEXX5P4LN3

not attested not anchored not stored refs pending

Nucleation and growth for the Ising model in $d$ dimensions at very low temperatures

Francesco Manzo, Rapha\"el Cerf

arxiv:1102.1741 v3 · 2011-02-08 · 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{WKM66A2LPILM6J2ZAEXX5P4LN3}

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	2026-05-18T03:05:07.869055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b299ef034b7a16cf2759012f7ebf8b6edf0522f9b183e5ef2a6ee2c958b2168c

Aliases

arxiv: 1102.1741 · arxiv_version: 1102.1741v3 · doi: 10.48550/arxiv.1102.1741 · pith_short_12: WKM66A2LPILM · pith_short_16: WKM66A2LPILM6J2Z · pith_short_8: WKM66A2L

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/WKM66A2LPILM6J2ZAEXX5P4LN3 \
  | 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: b299ef034b7a16cf2759012f7ebf8b6edf0522f9b183e5ef2a6ee2c958b2168c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40b5f91e72f197f9b9861cf80b74b0bf688e3f9dcf81bae26d62b6a98c96520c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-08T22:20:21Z",
    "title_canon_sha256": "f49ac66ce05fcc1dc6c20c7c7fb0f5572aca916dd34339833d3c823ed38a2938"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1741",
    "kind": "arxiv",
    "version": 3
  }
}