Pith Number

pith:H2BXCAIE

pith:2013:H2BXCAIECEVTEAEWTZL2FZD34R

not attested not anchored not stored refs pending

First order global asymptotics for confined particles with singular pair repulsion

Djalil Chafa\"i (CEREMADE, IUF), LAMA, Nathael Gozlan (LAMA), Pierre-Andr\'e Zitt (LAMA)

arxiv:1304.7569 v4 · 2013-04-29 · math.PR · math-ph · math.CA · 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{H2BXCAIECEVTEAEWTZL2FZD34R}

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	2026-05-18T02:43:24.413226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e83710104112b3200969e57a2e47be46bb39a69e9b4502a8dcb8060314b6d75

Aliases

arxiv: 1304.7569 · arxiv_version: 1304.7569v4 · doi: 10.48550/arxiv.1304.7569 · pith_short_12: H2BXCAIECEVT · pith_short_16: H2BXCAIECEVTEAEW · pith_short_8: H2BXCAIE

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/H2BXCAIECEVTEAEWTZL2FZD34R \
  | 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: 3e83710104112b3200969e57a2e47be46bb39a69e9b4502a8dcb8060314b6d75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4516ea758eca4466a8c325fe91e17084fb775af361ba3b6024f1ac09e173f923",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-29T05:33:24Z",
    "title_canon_sha256": "e041d7726c85d22169024d13a6d5d72dc54412bc7bf86bc629d9d59e84cbebb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7569",
    "kind": "arxiv",
    "version": 4
  }
}