Pith Number

pith:DKZWRBJK

pith:2009:DKZWRBJKP57SMLZQFHXHUO3LCK

not attested not anchored not stored refs pending

Markov processes with free Meixner laws

Wlodek Bryc

arxiv:0910.1061 v2 · 2009-10-06 · 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{DKZWRBJKP57SMLZQFHXHUO3LCK}

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	2026-05-18T03:13:32.352130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ab368852a7f7f262f3029ee7a3b6b12b5fae584f9e42b437fef7892db5a9f45

Aliases

arxiv: 0910.1061 · arxiv_version: 0910.1061v2 · doi: 10.48550/arxiv.0910.1061 · pith_short_12: DKZWRBJKP57S · pith_short_16: DKZWRBJKP57SMLZQ · pith_short_8: DKZWRBJK

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/DKZWRBJKP57SMLZQFHXHUO3LCK \
  | 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: 1ab368852a7f7f262f3029ee7a3b6b12b5fae584f9e42b437fef7892db5a9f45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2458d65fbb964c90af7f10b32dcf50e6474d80e9641025593106cb03aecac89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-10-06T17:38:54Z",
    "title_canon_sha256": "db2bdb16deb45040cdd473c94007ab95afcbdb04f7bd1b6cff081abf3e302f90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1061",
    "kind": "arxiv",
    "version": 2
  }
}