Pith Number

pith:QTUV7JTZ

pith:2011:QTUV7JTZF6A2MMFS4H3OUW63VS

not attested not anchored not stored refs pending

Nichols algebras of unidentified diagonal type

Ivan Angiono

arxiv:1108.5157 v2 · 2011-08-25 · 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{QTUV7JTZF6A2MMFS4H3OUW63VS}

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	2026-05-18T04:09:25.054480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84e95fa6792f81a630b2e1f6ea5bdbaca31de965d19ec349c848760fed5b3f77

Aliases

arxiv: 1108.5157 · arxiv_version: 1108.5157v2 · doi: 10.48550/arxiv.1108.5157 · pith_short_12: QTUV7JTZF6A2 · pith_short_16: QTUV7JTZF6A2MMFS · pith_short_8: QTUV7JTZ

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/QTUV7JTZF6A2MMFS4H3OUW63VS \
  | 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: 84e95fa6792f81a630b2e1f6ea5bdbaca31de965d19ec349c848760fed5b3f77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8be1c970de1186a56f64c7a5ee6813c77e0f96e8716e08728e33e1792be66888",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-08-25T18:54:49Z",
    "title_canon_sha256": "68efee520638338bb9c6cd8fdccb2d8e5aa36560f9d2cc21968550aceae5cc29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5157",
    "kind": "arxiv",
    "version": 2
  }
}