Pith Number

pith:VVPJUPLR

pith:2004:VVPJUPLRNHTTK6CJ6T22CS7T23

not attested not anchored not stored refs pending

Matrices and Finite Quandles

Benita Ho, Sam Nelson

arxiv:math/0412417 v3 · 2004-12-20 · 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{VVPJUPLRNHTTK6CJ6T22CS7T23}

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	2026-07-04T14:50:09.111496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad5e9a3d7169e7357849f4f5a14bf3d6d6c14b66c2d296cc1ae60ab2ed65498a

Aliases

arxiv: math/0412417 · arxiv_version: math/0412417v3 · doi: 10.48550/arxiv.math/0412417 · pith_short_12: VVPJUPLRNHTT · pith_short_16: VVPJUPLRNHTTK6CJ · pith_short_8: VVPJUPLR

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/VVPJUPLRNHTTK6CJ6T22CS7T23 \
  | 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: ad5e9a3d7169e7357849f4f5a14bf3d6d6c14b66c2d296cc1ae60ab2ed65498a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34178f3524c30fd087bd72abfe733eb3efa4f0703948c9bd6bcff56836b2d745",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-12-20T23:57:06Z",
    "title_canon_sha256": "17e7277d896391f8d07eb0eba944056556df234b673a9f33694f47ca4f7811f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0412417",
    "kind": "arxiv",
    "version": 3
  }
}