Pith Number

pith:JIN3D4CN

pith:2011:JIN3D4CNUU77AEXIR3AEIDIAKL

not attested not anchored not stored refs pending

Asymmetry tests for Bifurcating Auto-Regressive Processes with missing data

Anne G\'egout-Petit, Beno\^ite de Saporta, Laurence Marsalle

arxiv:1112.3745 v1 · 2011-12-16 · 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{JIN3D4CNUU77AEXIR3AEIDIAKL}

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	2026-05-18T04:06:08.922458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a1bb1f04da53ff012e88ec0440d0052fa48669b2bd382be03a0070ace25d0c0

Aliases

arxiv: 1112.3745 · arxiv_version: 1112.3745v1 · doi: 10.48550/arxiv.1112.3745 · pith_short_12: JIN3D4CNUU77 · pith_short_16: JIN3D4CNUU77AEXI · pith_short_8: JIN3D4CN

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/JIN3D4CNUU77AEXIR3AEIDIAKL \
  | 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: 4a1bb1f04da53ff012e88ec0440d0052fa48669b2bd382be03a0070ace25d0c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99dac45cb9438f2b8af9c6c142493c804e746a8988d75ec447f3dc5f0b5e0759",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-12-16T09:43:36Z",
    "title_canon_sha256": "89d91656aa7d1408a4a099f9acfaaa845e3e2ee25c8d07f99f1a993bad43c577"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3745",
    "kind": "arxiv",
    "version": 1
  }
}