Pith Number

pith:L4H23FZ5

pith:2013:L4H23FZ5QSVXKC5NT4O2AEEIOY

not attested not anchored not stored refs pending

Localization and number of visited valleys for a transient diffusion in random environment

Alexis Devulder (LM-Versailles), Pierre Andreoletti (MAPMO)

arxiv:1311.6332 v2 · 2013-11-25 · 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{L4H23FZ5QSVXKC5NT4O2AEEIOY}

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	2026-05-18T02:25:19.952235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f0fad973d84ab750bad9f1da01088763b2ccdc72ae816960335f19bfcb582aa

Aliases

arxiv: 1311.6332 · arxiv_version: 1311.6332v2 · doi: 10.48550/arxiv.1311.6332 · pith_short_12: L4H23FZ5QSVX · pith_short_16: L4H23FZ5QSVXKC5N · pith_short_8: L4H23FZ5

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/L4H23FZ5QSVXKC5NT4O2AEEIOY \
  | 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: 5f0fad973d84ab750bad9f1da01088763b2ccdc72ae816960335f19bfcb582aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69e33e5b5672e6e8d9a8d56001305ace1c999b1faeeb44d639cf504950756ced",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-25T15:22:40Z",
    "title_canon_sha256": "37db90368d75e4c45e5e8b0e225b714e826b23352d598216e5adb0dc9255857b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6332",
    "kind": "arxiv",
    "version": 2
  }
}