Pith Number

pith:I6WWYZS7

pith:2013:I6WWYZS7RMTWRHSRNPIINKX2ST

not attested not anchored not stored refs pending

Random walk with heavy tail and negative drift conditioned by its minimum and final values

Vincent Bansaye (CMAP), Vladimir Vatutin

arxiv:1312.3306 v1 · 2013-12-11 · 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{I6WWYZS7RMTWRHSRNPIINKX2ST}

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	2026-05-18T03:04:59.942878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47ad6c665f8b27689e516bd086aafa94e38384e42f4f7f3c25e3eb9ebcb796f0

Aliases

arxiv: 1312.3306 · arxiv_version: 1312.3306v1 · doi: 10.48550/arxiv.1312.3306 · pith_short_12: I6WWYZS7RMTW · pith_short_16: I6WWYZS7RMTWRHSR · pith_short_8: I6WWYZS7

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/I6WWYZS7RMTWRHSRNPIINKX2ST \
  | 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: 47ad6c665f8b27689e516bd086aafa94e38384e42f4f7f3c25e3eb9ebcb796f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25f98386a315fda15398310542fc822b5201fb687ca95d9a5e59ad16caa70159",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-11T20:15:42Z",
    "title_canon_sha256": "073b29010ed329025a0457b9d6c8a81909d87469a89a49306f578c0e05ca0729"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3306",
    "kind": "arxiv",
    "version": 1
  }
}