Pith Number

pith:DVP5F2JO

pith:2022:DVP5F2JOB7NYJ5QLNLDKHG4VHR

not attested not anchored not stored refs pending

On systems of particles in singular repulsive interaction in dimension one : log and Riesz gas

Arnaud Guillin, Pierre Le Bris, Pierre Monmarch\'e

arxiv:2204.10653 v1 · 2022-04-22 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DVP5F2JOB7NYJ5QLNLDKHG4VHR}

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	2026-07-05T04:16:59.577234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d5fd2e92e0fdb84f60b6ac6a39b953c48d391b62f1b0db6042d2e3d806eb119

Aliases

arxiv: 2204.10653 · arxiv_version: 2204.10653v1 · doi: 10.48550/arxiv.2204.10653 · pith_short_12: DVP5F2JOB7NY · pith_short_16: DVP5F2JOB7NYJ5QL · pith_short_8: DVP5F2JO

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/DVP5F2JOB7NYJ5QLNLDKHG4VHR \
  | 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: 1d5fd2e92e0fdb84f60b6ac6a39b953c48d391b62f1b0db6042d2e3d806eb119

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d08dc9ad70450414d056ea354ada7110b68128a88eb4687a9a8817f9d76f26d8",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-04-22T11:48:29Z",
    "title_canon_sha256": "50aea0355a29ffdbc23822260545dc4816fd82e668fbc61806bdb53bc67030b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.10653",
    "kind": "arxiv",
    "version": 1
  }
}