Pith Number

pith:EQWT2ECN

pith:2009:EQWT2ECNMUNDRMFHYM55I3XKKP

not attested not anchored not stored refs pending

On the first k moments of the random count of a pattern in a multi-states sequence generated by a Markov source

Gr\'egory Nuel (MAP5)

arxiv:0909.4071 v1 · 2009-09-22 · 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{EQWT2ECNMUNDRMFHYM55I3XKKP}

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	2026-05-18T04:04:07.088988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

242d3d104d651a38b0a7c33bd46eea53fdc56e276b26d28e1ac5d1935dd518f5

Aliases

arxiv: 0909.4071 · arxiv_version: 0909.4071v1 · doi: 10.48550/arxiv.0909.4071 · pith_short_12: EQWT2ECNMUND · pith_short_16: EQWT2ECNMUNDRMFH · pith_short_8: EQWT2ECN

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/EQWT2ECNMUNDRMFHYM55I3XKKP \
  | 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: 242d3d104d651a38b0a7c33bd46eea53fdc56e276b26d28e1ac5d1935dd518f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a24613098b320decf5a719c0a46adc82b7ba5fb9c5d1a6bead30d6cf87c4573",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-09-22T19:31:54Z",
    "title_canon_sha256": "b8bbc88d735bec84a867d242d6b1ee5b9f60f78e6d8275e29f769658ebfceebd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4071",
    "kind": "arxiv",
    "version": 1
  }
}