Pith Number

pith:27JHZ273

pith:2013:27JHZ273YW3H3X6XRXUOF5TAI7

not attested not anchored not stored refs pending

The heat equation shrinks Ising droplets to points

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

arxiv:1306.4507 v1 · 2013-06-19 · math-ph · math.AP · 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{27JHZ273YW3H3X6XRXUOF5TAI7}

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	2026-05-18T03:20:34.224508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7d27cebfbc5b67ddfd78de8e2f66047f2929f5e47d026fa20034b930038c911

Aliases

arxiv: 1306.4507 · arxiv_version: 1306.4507v1 · doi: 10.48550/arxiv.1306.4507 · pith_short_12: 27JHZ273YW3H · pith_short_16: 27JHZ273YW3H3X6X · pith_short_8: 27JHZ273

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/27JHZ273YW3H3X6XRXUOF5TAI7 \
  | 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: d7d27cebfbc5b67ddfd78de8e2f66047f2929f5e47d026fa20034b930038c911

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "867c57bcc7c10d388d929cfe2d2fcca633d08c48079ab49e48233bfea7049eaa",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-06-19T12:01:14Z",
    "title_canon_sha256": "7f2913b8ea032362fbd78b85ede99b49c6a183dbb3f8ac04f35956cd1f4ebcb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4507",
    "kind": "arxiv",
    "version": 1
  }
}