Pith Number

pith:VQAW4VAQ

pith:2013:VQAW4VAQLAZ3VXGDQCC74CCRH5

not attested not anchored not stored refs pending

Finite Sample Properties of Adaptive Markov Chains via Curvature

Aaron Smith, Natesh S. Pillai

arxiv:1309.6699 v2 · 2013-09-26 · math.PR · math.ST · stat.CO · 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{VQAW4VAQLAZ3VXGDQCC74CCRH5}

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	2026-05-18T02:41:18.766110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac016e54105833badcc38085fe08513f58a5c5aaee25b75b24e5c264571be9a1

Aliases

arxiv: 1309.6699 · arxiv_version: 1309.6699v2 · doi: 10.48550/arxiv.1309.6699 · pith_short_12: VQAW4VAQLAZ3 · pith_short_16: VQAW4VAQLAZ3VXGD · pith_short_8: VQAW4VAQ

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/VQAW4VAQLAZ3VXGDQCC74CCRH5 \
  | 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: ac016e54105833badcc38085fe08513f58a5c5aaee25b75b24e5c264571be9a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f936204c98d0d51e36fad315722b70fc2d040381a1cff07dc08eba26b912f3d",
    "cross_cats_sorted": [
      "math.ST",
      "stat.CO",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-26T01:14:02Z",
    "title_canon_sha256": "59e80e48769a6d96c6288cc474803046ff698ec8fec02b8a746b0cf75e903028"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6699",
    "kind": "arxiv",
    "version": 2
  }
}