Pith Number

pith:GLM5VAOY

pith:2009:GLM5VAOY7FLSKXYYMIFMD4UQKY

not attested not anchored not stored refs pending

Homology of free quantum groups

A. Thom, B. Collins, J. H\"artel

arxiv:0903.1686 v1 · 2009-03-10 · math.OA · 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{GLM5VAOY7FLSKXYYMIFMD4UQKY}

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	2026-05-17T23:52:45.005687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32d9da81d8f957255f18620ac1f2905617f0621a8f99d8ae3c665512d067a67d

Aliases

arxiv: 0903.1686 · arxiv_version: 0903.1686v1 · doi: 10.48550/arxiv.0903.1686 · pith_short_12: GLM5VAOY7FLS · pith_short_16: GLM5VAOY7FLSKXYY · pith_short_8: GLM5VAOY

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/GLM5VAOY7FLSKXYYMIFMD4UQKY \
  | 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: 32d9da81d8f957255f18620ac1f2905617f0621a8f99d8ae3c665512d067a67d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0cc982358a563e3707b175e47cc1e5264d778439b9666562843404e32e2e89c",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-03-10T05:21:11Z",
    "title_canon_sha256": "255ba4e818f1d84ae6b1648cdce4728422887f61d69662b91875d271b0d63994"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1686",
    "kind": "arxiv",
    "version": 1
  }
}