Pith Number

pith:HY4VLGQW

pith:2010:HY4VLGQWQ2K34HDBTMQ2OS2SXX

not attested not anchored not stored refs pending

Nichols algebras of group type with many quadratic relations

I. Heckenberger, L. Vendramin, M. Gra\~na

arxiv:1004.3723 v1 · 2010-04-21 · 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{HY4VLGQWQ2K34HDBTMQ2OS2SXX}

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	2026-05-18T04:21:10.897715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e39559a168695be1c619b21a74b52bdd3144a16e6b5413bbd975f091b33505f

Aliases

arxiv: 1004.3723 · arxiv_version: 1004.3723v1 · doi: 10.48550/arxiv.1004.3723 · pith_short_12: HY4VLGQWQ2K3 · pith_short_16: HY4VLGQWQ2K34HDB · pith_short_8: HY4VLGQW

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/HY4VLGQWQ2K34HDBTMQ2OS2SXX \
  | 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: 3e39559a168695be1c619b21a74b52bdd3144a16e6b5413bbd975f091b33505f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d617d7e6492135df382289f16d4d115a34b449f527c6a1e0b5d29509d18341ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-04-21T15:05:13Z",
    "title_canon_sha256": "02c14381f9e440c96938314291f1bc3f3c47c435a407ef9d4a28655df7575369"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3723",
    "kind": "arxiv",
    "version": 1
  }
}