Pith Number

pith:TYFZ7EJG

pith:2015:TYFZ7EJGBNSQAK5FX4P6OIHNDX

not attested not anchored not stored refs pending

Renewal structure and local time for diffusions in random environment

Alexis Devulder (LM-Versailles), Gr\'egoire Vechambre (MAPMO), Pierre Andreoletti (MAPMO)

arxiv:1506.02895 v5 · 2015-06-09 · 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{TYFZ7EJGBNSQAK5FX4P6OIHNDX}

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	2026-05-18T01:05:12.822966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e0b9f91260b65002ba5bf1fe720ed1decf924341c9fecf53b6f974d703ca020

Aliases

arxiv: 1506.02895 · arxiv_version: 1506.02895v5 · doi: 10.48550/arxiv.1506.02895 · pith_short_12: TYFZ7EJGBNSQ · pith_short_16: TYFZ7EJGBNSQAK5F · pith_short_8: TYFZ7EJG

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/TYFZ7EJGBNSQAK5FX4P6OIHNDX \
  | 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: 9e0b9f91260b65002ba5bf1fe720ed1decf924341c9fecf53b6f974d703ca020

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46701b715cc69e6586ff76d4bab023710e52daa182bdc97929eabd263f6942ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-09T13:13:52Z",
    "title_canon_sha256": "aacf09e56415f96e02e2d334a7b054f08d839cead050ecd512172dae60fbcbc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02895",
    "kind": "arxiv",
    "version": 5
  }
}