Pith Number

pith:PINPVNTN

pith:2007:PINPVNTN64X76QC2KWXZ6ZMIQI

not attested not anchored not stored refs pending

Another Look at AR(1)

Steven R. Finch

arxiv:0710.5419 v2 · 2007-10-29 · math.DS · math.PR · 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{PINPVNTN64X76QC2KWXZ6ZMIQI}

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.

Cited by

1 paper in Pith

Number of Sign Changes: Segment of AR(1)

Receipt and verification

First computed	2026-07-04T15:06:30.578747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a1afab66df72fff405a55af9f6588820b1e0cf72ad94b897a83c801a4d1346b

Aliases

arxiv: 0710.5419 · arxiv_version: 0710.5419v2 · doi: 10.48550/arxiv.0710.5419 · pith_short_12: PINPVNTN64X7 · pith_short_16: PINPVNTN64X76QC2 · pith_short_8: PINPVNTN

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/PINPVNTN64X76QC2KWXZ6ZMIQI \
  | 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: 7a1afab66df72fff405a55af9f6588820b1e0cf72ad94b897a83c801a4d1346b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7eeb63a55dc158bbaa42079922ad6a68ee7181c403bcd007b93a66a1de4fc1b",
    "cross_cats_sorted": [
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2007-10-29T13:13:13Z",
    "title_canon_sha256": "3c8b1b7102277ac6558028a62e22801f434b6b2d69add721c4aad3702f92cd3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.5419",
    "kind": "arxiv",
    "version": 2
  }
}