Pith Number

pith:4XYLBJRO

pith:2012:4XYLBJRORSPGFU3IXVUHPNV7IQ

not attested not anchored not stored refs pending

Stochastic dynamics of determinantal processes by integration by parts

Giovanni Luca Torrisi, Ian Flint, Laurent Decreusefond, Nicolas Privault

arxiv:1210.6109 v4 · 2012-10-23 · 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{4XYLBJRORSPGFU3IXVUHPNV7IQ}

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	2026-05-18T01:31:53.651424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5f0b0a62e8c9e62d368bd6877b6bf4411a774af6c4a00c790858fb9ee3fb327

Aliases

arxiv: 1210.6109 · arxiv_version: 1210.6109v4 · doi: 10.48550/arxiv.1210.6109 · pith_short_12: 4XYLBJRORSPG · pith_short_16: 4XYLBJRORSPGFU3I · pith_short_8: 4XYLBJRO

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/4XYLBJRORSPGFU3IXVUHPNV7IQ \
  | 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: e5f0b0a62e8c9e62d368bd6877b6bf4411a774af6c4a00c790858fb9ee3fb327

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5e500774ad0148448a082e2b7e7f8819b9b3d634a59c8c75e370082d0703ead",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-23T02:51:47Z",
    "title_canon_sha256": "c3db03436e170772c30cc0c196af248b115dc79de01b5c722e8d801360203970"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6109",
    "kind": "arxiv",
    "version": 4
  }
}