Pith Number

pith:6EB5JE7K

pith:2010:6EB5JE7K5EMNVLEUH6VHSEJTS4

not attested not anchored not stored refs pending

A presentation by generators and relations of Nichols algebras of diagonal type and convex orders on root systems

Iv\'an Ezequiel Angiono

arxiv:1008.4144 v1 · 2010-08-24 · 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{6EB5JE7K5EMNVLEUH6VHSEJTS4}

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	2026-05-18T04:41:53.616913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f103d493eae918daac943faa7911339736fafbbae3812aa881b01786fbe06374

Aliases

arxiv: 1008.4144 · arxiv_version: 1008.4144v1 · doi: 10.48550/arxiv.1008.4144 · pith_short_12: 6EB5JE7K5EMN · pith_short_16: 6EB5JE7K5EMNVLEU · pith_short_8: 6EB5JE7K

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/6EB5JE7K5EMNVLEUH6VHSEJTS4 \
  | 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: f103d493eae918daac943faa7911339736fafbbae3812aa881b01786fbe06374

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82db1ce91c80df78363cd97f41805a799c78ea19d41f16d42df9521c589614e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-08-24T20:30:01Z",
    "title_canon_sha256": "95800cc66d6cc1bf3c5ca6abdb450d934bd4e5bef8280e5e1f1d6281291b18d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4144",
    "kind": "arxiv",
    "version": 1
  }
}