Pith Number

pith:CRT73CVL

pith:2014:CRT73CVLC2JG5266NP4U5UVDAM

not attested not anchored not stored refs pending

Imputing unknown competitor marketing activity with a Hidden Markov Chain

Changan Zhang, Danny Jin, Dominique Haughton (SAMM, Gremaq), Guangying Hua, John Lin, Qizhi Wei

arxiv:1403.7972 v1 · 2014-03-31 · stat.AP · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CRT73CVLC2JG5266NP4U5UVDAM}

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	2026-05-18T02:55:12.056740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1467fd8aab16926eebde6bf94ed2a3032eb3f34f09a7d1f897cda383e66a683e

Aliases

arxiv: 1403.7972 · arxiv_version: 1403.7972v1 · doi: 10.48550/arxiv.1403.7972 · pith_short_12: CRT73CVLC2JG · pith_short_16: CRT73CVLC2JG5266 · pith_short_8: CRT73CVL

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/CRT73CVLC2JG5266NP4U5UVDAM \
  | 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: 1467fd8aab16926eebde6bf94ed2a3032eb3f34f09a7d1f897cda383e66a683e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfb2450ce9fcf6513b3ada779b0f93257e221394ec7fb2990a3c7289ece746e6",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2014-03-31T12:36:27Z",
    "title_canon_sha256": "7c2669a3213cb5129097ad49d1943fd593a664ddea2b1ad1d29f66babdc1f45f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7972",
    "kind": "arxiv",
    "version": 1
  }
}