Pith Number

pith:M7ZGVNX6

pith:2013:M7ZGVNX6PR6UXW65OQBZCCNAAI

not attested not anchored not stored refs pending

Weak law of large numbers for some Markov chains along non homogeneous genealogies

Chunmao Huang (CMAP), Vincent Bansaye (CMAP)

arxiv:1305.4766 v1 · 2013-05-21 · 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{M7ZGVNX6PR6UXW65OQBZCCNAAI}

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	2026-05-18T03:25:15.257821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67f26ab6fe7c7d4bdbdd74039109a00230f50785ca3e7d1b6520e440e66fc329

Aliases

arxiv: 1305.4766 · arxiv_version: 1305.4766v1 · doi: 10.48550/arxiv.1305.4766 · pith_short_12: M7ZGVNX6PR6U · pith_short_16: M7ZGVNX6PR6UXW65 · pith_short_8: M7ZGVNX6

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/M7ZGVNX6PR6UXW65OQBZCCNAAI \
  | 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: 67f26ab6fe7c7d4bdbdd74039109a00230f50785ca3e7d1b6520e440e66fc329

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a510038473823354190e873f2c46278b8e131afc1ac3a865d5b09465426201b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-21T09:21:35Z",
    "title_canon_sha256": "40ccc1bfee9546afcfd7c3fe9864253474db10a2632e5053c998af0df9994b3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4766",
    "kind": "arxiv",
    "version": 1
  }
}