Pith Number

pith:ZVHJJUOZ

pith:2010:ZVHJJUOZO625BTCTS6DIHCJ3U7

not attested not anchored not stored refs pending

Sparse approaches for the exact distribution of patterns in long state sequences generated by a Markov source

Gr\'egory Nuel (MAP5), Jean-Guillaume Dumas (LJK)

arxiv:1006.3246 v4 · 2010-06-16 · math.PR · cs.SC · q-bio.QM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZVHJJUOZO625BTCTS6DIHCJ3U7}

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	2026-05-18T03:25:26.019744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd4e94d1d977b5d0cc53978683893ba7cfa990ec0b26bb3472940eebeb2e5392

Aliases

arxiv: 1006.3246 · arxiv_version: 1006.3246v4 · doi: 10.48550/arxiv.1006.3246 · pith_short_12: ZVHJJUOZO625 · pith_short_16: ZVHJJUOZO625BTCT · pith_short_8: ZVHJJUOZ

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/ZVHJJUOZO625BTCTS6DIHCJ3U7 \
  | 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: cd4e94d1d977b5d0cc53978683893ba7cfa990ec0b26bb3472940eebeb2e5392

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d7b8a021260719cf9b93acd7ed60676894ac7333cd5b2078c55c7a59a1b91fa",
    "cross_cats_sorted": [
      "cs.SC",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-06-16T15:24:54Z",
    "title_canon_sha256": "b76060009de4122bb566f6a60271e9890cf7b65ed2dfc23f98f716dda499f2df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3246",
    "kind": "arxiv",
    "version": 4
  }
}