Pith Number

pith:HASHWUP6

pith:2011:HASHWUP6YCXCFKSRAMXCWC4C6R

not attested not anchored not stored refs pending

Zero-temperature 2D Ising model and anisotropic curve-shortening flow

F. L. Toninelli, F. Simenhaus, H. Lacoin

arxiv:1112.3160 v2 · 2011-12-14 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HASHWUP6YCXCFKSRAMXCWC4C6R}

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	2026-05-18T01:23:04.696467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38247b51fec0ae22aa51032e2b0b82f44a2c9e01c76fb4551b35a556103dfb85

Aliases

arxiv: 1112.3160 · arxiv_version: 1112.3160v2 · doi: 10.48550/arxiv.1112.3160 · pith_short_12: HASHWUP6YCXC · pith_short_16: HASHWUP6YCXCFKSR · pith_short_8: HASHWUP6

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/HASHWUP6YCXCFKSRAMXCWC4C6R \
  | 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: 38247b51fec0ae22aa51032e2b0b82f44a2c9e01c76fb4551b35a556103dfb85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "983bf50aedbd6bbde0d2d16e795f9579911509601a876fc67879bc412e2f592b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-14T10:36:36Z",
    "title_canon_sha256": "ac48e07e6eb4a539f48c8037ecd91bc86e2b096bf32d5973f7a12304c0f9eb2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3160",
    "kind": "arxiv",
    "version": 2
  }
}