Pith Number

pith:OOLDJFPX

pith:2005:OOLDJFPX4ACSSCF5HZ55UH7DFI

not attested not anchored not stored refs pending

On the Orbit Decomposition of Finite Quandles

Chau-Yim Wong, Sam Nelson

arxiv:math/0508247 v3 · 2005-08-14 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OOLDJFPX4ACSSCF5HZ55UH7DFI}

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	2026-07-04T14:50:36.587596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73963495f7e0052908bd3e7bda1fe32a1c0f8de82d71ee248c3dd98dc3492271

Aliases

arxiv: math/0508247 · arxiv_version: math/0508247v3 · doi: 10.48550/arxiv.math/0508247 · pith_short_12: OOLDJFPX4ACS · pith_short_16: OOLDJFPX4ACSSCF5 · pith_short_8: OOLDJFPX

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/OOLDJFPX4ACSSCF5HZ55UH7DFI \
  | 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: 73963495f7e0052908bd3e7bda1fe32a1c0f8de82d71ee248c3dd98dc3492271

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d21543d62fec5fd1fa459742fbcba68ecf1ec1997be33fc6fcb6ed13ef59c00",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-08-14T20:57:41Z",
    "title_canon_sha256": "bbf48c3cca01ff9480757c1555d12b9de53a6a950fbe85cef5f228d93bdf4e82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508247",
    "kind": "arxiv",
    "version": 3
  }
}