Pith Number

pith:YZBNJMMG

pith:2012:YZBNJMMGOWH4ZQDJGDVDXUTBFU

not attested not anchored not stored refs pending

On entire moments of self-similar Markov processes

Leif Doering, Matyas Barczy

arxiv:1203.4332 v2 · 2012-03-20 · 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{YZBNJMMGOWH4ZQDJGDVDXUTBFU}

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	2026-05-18T02:55:50.083823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c642d4b186758fccc06930ea3bd2612d085eeb2515337d920450a426d50ce79e

Aliases

arxiv: 1203.4332 · arxiv_version: 1203.4332v2 · doi: 10.48550/arxiv.1203.4332 · pith_short_12: YZBNJMMGOWH4 · pith_short_16: YZBNJMMGOWH4ZQDJ · pith_short_8: YZBNJMMG

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/YZBNJMMGOWH4ZQDJGDVDXUTBFU \
  | 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: c642d4b186758fccc06930ea3bd2612d085eeb2515337d920450a426d50ce79e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b434786b80b5c067a0427a0e7b05ea5717ccef7f391699f55a2945f080bdd26b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-20T07:39:46Z",
    "title_canon_sha256": "6cc9b9eb13c06b612614120cd58a559efcb033c68e8b78735be8848160645622"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4332",
    "kind": "arxiv",
    "version": 2
  }
}