Pith Number

pith:PSR6QIOZ

pith:2015:PSR6QIOZBJUAU43X6VMM3EGFQM

not attested not anchored not stored refs pending

Generalized $\Gamma$ calculus and application to interacting particles on a graph

Pierre Monmarch\'e

arxiv:1510.05936 v4 · 2015-10-20 · 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{PSR6QIOZBJUAU43X6VMM3EGFQM}

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	2026-05-18T00:22:45.037334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ca3e821d90a680a7377f558cd90c58320f01c756e6a2c43ec31ae7eb2e73f6c

Aliases

arxiv: 1510.05936 · arxiv_version: 1510.05936v4 · doi: 10.48550/arxiv.1510.05936 · pith_short_12: PSR6QIOZBJUA · pith_short_16: PSR6QIOZBJUAU43X · pith_short_8: PSR6QIOZ

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/PSR6QIOZBJUAU43X6VMM3EGFQM \
  | 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: 7ca3e821d90a680a7377f558cd90c58320f01c756e6a2c43ec31ae7eb2e73f6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a35891e2338d6bd061489184820c8dec1542d8ad537f1534700c42e32d4a5365",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-20T15:45:33Z",
    "title_canon_sha256": "7ae0629b1815b0e0b1b9bfffae1ebfbaf972ffc932eaa1ab5681d342c6d6a657"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05936",
    "kind": "arxiv",
    "version": 4
  }
}