Pith Number

pith:GIRH3JD4

pith:2006:GIRH3JD4DVHMLH5IMAQ7GAQMY3

not attested not anchored not stored refs pending

A note on Radford's $S^4$ formula

A. Van Daele, L. Delvaux, Shuanhong Wang

arxiv:math/0608096 v2 · 2006-08-03 · math.RA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GIRH3JD4DVHMLH5IMAQ7GAQMY3}

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	2026-05-18T01:05:22.620156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32227da47c1d4ec59fa86021f3020cc6d77b58f11e110e7649877287ca246303

Aliases

arxiv: math/0608096 · arxiv_version: math/0608096v2 · doi: 10.48550/arxiv.math/0608096 · pith_short_12: GIRH3JD4DVHM · pith_short_16: GIRH3JD4DVHMLH5I · pith_short_8: GIRH3JD4

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/GIRH3JD4DVHMLH5IMAQ7GAQMY3 \
  | 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: 32227da47c1d4ec59fa86021f3020cc6d77b58f11e110e7649877287ca246303

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "417fc53003e86ae078d5c21e0b7df13c7bec934362462ef9187d4fff5e369b11",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2006-08-03T15:05:54Z",
    "title_canon_sha256": "c13dd9ca8658f0e5313248c01eef35429adecaf1ad3f33436c822665478ef7e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608096",
    "kind": "arxiv",
    "version": 2
  }
}