Pith Number

pith:AXPSKU37

pith:2012:AXPSKU37CM7AHYNNBNVVDTSRUJ

not attested not anchored not stored refs pending

Zipf and non-Zipf Laws for Homogeneous Markov Chain

Eduard Yu. Lerner, Vladimir V. Bochkarev

arxiv:1207.1872 v2 · 2012-07-08 · cs.IT · math.IT · 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{AXPSKU37CM7AHYNNBNVVDTSRUJ}

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	2026-05-18T03:15:21.118202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05df25537f133e03e1ad0b6b51ce51a25e761465e164880e07f2f272c9e412bc

Aliases

arxiv: 1207.1872 · arxiv_version: 1207.1872v2 · doi: 10.48550/arxiv.1207.1872 · pith_short_12: AXPSKU37CM7A · pith_short_16: AXPSKU37CM7AHYNN · pith_short_8: AXPSKU37

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/AXPSKU37CM7AHYNNBNVVDTSRUJ \
  | 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: 05df25537f133e03e1ad0b6b51ce51a25e761465e164880e07f2f272c9e412bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "941144bc147de929d2efe8b407592b7b52dca6e4826d9abf5585e8d4e6400991",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-07-08T13:50:02Z",
    "title_canon_sha256": "5facfbbdea107d376ff352695b4012a6d0f0907dddcc3a2e2a2abb897bee1317"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1872",
    "kind": "arxiv",
    "version": 2
  }
}