Pith Number

pith:F3QY72JT

pith:2011:F3QY72JTT4UR47AULARA2RQZQA

not attested not anchored not stored refs pending

Deformation of tensor product (co)algebras via non-(co)normal twists

Chiara Pagani, Lucio S. Cirio

arxiv:1112.2992 v1 · 2011-12-13 · math.RA · 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{F3QY72JTT4UR47AULARA2RQZQA}

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	2026-05-18T04:06:31.828793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ee18fe9339f291e7c1458220d4619802cb0326afb23f8fac9e25937216eaeb2

Aliases

arxiv: 1112.2992 · arxiv_version: 1112.2992v1 · doi: 10.48550/arxiv.1112.2992 · pith_short_12: F3QY72JTT4UR · pith_short_16: F3QY72JTT4UR47AU · pith_short_8: F3QY72JT

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/F3QY72JTT4UR47AULARA2RQZQA \
  | 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: 2ee18fe9339f291e7c1458220d4619802cb0326afb23f8fac9e25937216eaeb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "098207a9293d4a22aa75e1cbe05091556110d3b68cf052541c0369f27daafa2f",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-12-13T18:23:54Z",
    "title_canon_sha256": "3ef24cc729ec30b858779738b3e31e84bfebeb25e9e7a5ba3d4682c051c54772"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2992",
    "kind": "arxiv",
    "version": 1
  }
}