Pith Number

pith:DOLY2EJD

pith:2017:DOLY2EJDMMRE56BBNXAWULWJGG

not attested not anchored not stored refs pending

Recurrence of Multidimensional Persistent Random Walks. Fourier and Series Criteria

Arnaud Rousselle (IMB), Basile De Loynes (ENSAI), Peggy C\'enac (IMB), Yoann Offret (IMB)

arxiv:1712.02999 v1 · 2017-12-08 · 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{DOLY2EJDMMRE56BBNXAWULWJGG}

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	2026-05-18T00:28:28.628276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b978d112363224ef8216dc16a2ec931bcf6a959bb3c2b7a4c8fa27e93ab4805

Aliases

arxiv: 1712.02999 · arxiv_version: 1712.02999v1 · doi: 10.48550/arxiv.1712.02999 · pith_short_12: DOLY2EJDMMRE · pith_short_16: DOLY2EJDMMRE56BB · pith_short_8: DOLY2EJD

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/DOLY2EJDMMRE56BBNXAWULWJGG \
  | 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: 1b978d112363224ef8216dc16a2ec931bcf6a959bb3c2b7a4c8fa27e93ab4805

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21fc0953842794ea8d929f943030c66476380e9879d1a717bf9a8d982d8b5bb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-08T09:53:03Z",
    "title_canon_sha256": "03bdf67ec30dea660721852eff109aa0671076a4e8a9998c44f1c28f8d7b04aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02999",
    "kind": "arxiv",
    "version": 1
  }
}