Pith Number

pith:S5IRWRM5

pith:2007:S5IRWRM5QQDKUUKHQPCPZP7TDB

not attested not anchored not stored refs pending

Skew Hopf algebras, irreducible extensions and the pi-method

Lars Kadison

arxiv:math/0701427 v2 · 2007-01-15 · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S5IRWRM5QQDKUUKHQPCPZP7TDB}

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	2026-05-18T04:08:52.963657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97511b459d8406aa514783c4fcbff31843bc6f7f4da4202440bffebc518cea77

Aliases

arxiv: math/0701427 · arxiv_version: math/0701427v2 · doi: 10.48550/arxiv.math/0701427 · pith_short_12: S5IRWRM5QQDK · pith_short_16: S5IRWRM5QQDKUUKH · pith_short_8: S5IRWRM5

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/S5IRWRM5QQDKUUKHQPCPZP7TDB \
  | 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: 97511b459d8406aa514783c4fcbff31843bc6f7f4da4202440bffebc518cea77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b46f71f42c15dec7ad4eff81ef54be0d2831bbd197ffa2657f0f65be378135c",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2007-01-15T22:09:34Z",
    "title_canon_sha256": "797563c3aabd170d2937b8b24f4d8ab1787c1026d79712d76a4853ccd18c30f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701427",
    "kind": "arxiv",
    "version": 2
  }
}