Pith Number

pith:FECGHF4O

pith:2015:FECGHF4ORQQSVQ3LPGYH4G2SMN

not attested not anchored not stored refs pending

Phantom distribution functions for some stationary sequences

Adam Jakubowski, Gabriel Lang, Paul Doukhan

arxiv:1509.05449 v1 · 2015-09-17 · 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{FECGHF4ORQQSVQ3LPGYH4G2SMN}

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	2026-05-18T01:32:43.176358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

290463978e8c212ac36b79b07e1b52634d875c6e6f2b1d87f9a24b8e4acb051e

Aliases

arxiv: 1509.05449 · arxiv_version: 1509.05449v1 · doi: 10.48550/arxiv.1509.05449 · pith_short_12: FECGHF4ORQQS · pith_short_16: FECGHF4ORQQSVQ3L · pith_short_8: FECGHF4O

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/FECGHF4ORQQSVQ3LPGYH4G2SMN \
  | 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: 290463978e8c212ac36b79b07e1b52634d875c6e6f2b1d87f9a24b8e4acb051e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86a44de4db7423ca15b860f2c5b28a195e2ab6fe8fdb1b72480c3d9b21db3a08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-17T21:40:19Z",
    "title_canon_sha256": "0a3269040949036ffbf00ffce0af46da60c3d9422c776688e256fd5fb8789e24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05449",
    "kind": "arxiv",
    "version": 1
  }
}