Pith Number

pith:G55VMA32

pith:2015:G55VMA32VX4IMWLRNZ6LHR7DZL

not attested not anchored not stored refs pending

Thermodynamics for spatially inhomogeneous magnetization and Young-Gibbs measures

A. Montino, D. Tsagkarogiannis, N. Soprano-Loto

arxiv:1511.02118 v2 · 2015-11-06 · 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{G55VMA32VX4IMWLRNZ6LHR7DZL}

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	2026-05-18T01:08:12.813964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

377b56037aadf88659716e7cb3c7e3caf161e0f08eb792b26adf49dbf4326c04

Aliases

arxiv: 1511.02118 · arxiv_version: 1511.02118v2 · doi: 10.48550/arxiv.1511.02118 · pith_short_12: G55VMA32VX4I · pith_short_16: G55VMA32VX4IMWLR · pith_short_8: G55VMA32

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/G55VMA32VX4IMWLRNZ6LHR7DZL \
  | 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: 377b56037aadf88659716e7cb3c7e3caf161e0f08eb792b26adf49dbf4326c04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82edecebd1482afb8e2046a5c95a842a5f80b12fd73ce159602802812fd4a904",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-06T15:37:04Z",
    "title_canon_sha256": "ab1226b1e928a3680ed92a32a2a89f8d7ccd55d00780e4676946762a202b8dec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02118",
    "kind": "arxiv",
    "version": 2
  }
}