Pith Number

pith:JA2APALW

pith:2008:JA2APALW3L4AHZVETVATEVLPOR

not attested not anchored not stored refs pending

Reducibility of Covers of AFT shifts

David Pask, Soren Eilers, Teresa Bates

arxiv:0812.1408 v1 · 2008-12-07 · math.DS · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JA2APALW3L4AHZVETVATEVLPOR}

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	2026-05-18T03:37:09.583803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4834078176daf803e6a49d4132556f747ecc00067d630e9efa1d1a46c7788600

Aliases

arxiv: 0812.1408 · arxiv_version: 0812.1408v1 · doi: 10.48550/arxiv.0812.1408 · pith_short_12: JA2APALW3L4A · pith_short_16: JA2APALW3L4AHZVE · pith_short_8: JA2APALW

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/JA2APALW3L4AHZVETVATEVLPOR \
  | 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: 4834078176daf803e6a49d4132556f747ecc00067d630e9efa1d1a46c7788600

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0509249e7adcbc5c0e27b1244e26e645c8ec60776dea7c0ad0644f480f36879d",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-12-07T23:27:34Z",
    "title_canon_sha256": "d33ceddc1c4109574b9c949c2cfc4016178dfbaddf67b231b59a13641a2a9c90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.1408",
    "kind": "arxiv",
    "version": 1
  }
}