Pith Number

pith:S24Y74ZJ

pith:2017:S24Y74ZJVLOGLHZKMG4GWN5LGM

not attested not anchored not stored refs pending

Gibbs measures based on 1D (an)harmonic oscillators as mean-field limits

Mathieu Lewin (CEREMADE), Nicolas Rougerie (LPMMC), Phan Th\`anh Nam

arxiv:1703.09422 v3 · 2017-03-28 · 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{S24Y74ZJVLOGLHZKMG4GWN5LGM}

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	2026-05-18T00:01:15.444279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96b98ff329aadc659f2a61b86b37ab333878c9eaed102e1b41563d4c776e5e8e

Aliases

arxiv: 1703.09422 · arxiv_version: 1703.09422v3 · doi: 10.48550/arxiv.1703.09422 · pith_short_12: S24Y74ZJVLOG · pith_short_16: S24Y74ZJVLOGLHZK · pith_short_8: S24Y74ZJ

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/S24Y74ZJVLOGLHZKMG4GWN5LGM \
  | 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: 96b98ff329aadc659f2a61b86b37ab333878c9eaed102e1b41563d4c776e5e8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "664847531eef85b053da5059aad6e3fa578e1b0b45aa155fa0d356e0ebfcc96d",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-03-28T07:20:55Z",
    "title_canon_sha256": "cfdb481a1d7dbcfee5789325a6f2ba2fd22a704ed8f11c25086b691ad1e27c3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.09422",
    "kind": "arxiv",
    "version": 3
  }
}