Pith Number

pith:2QTO7FBH

pith:2016:2QTO7FBHT7RULS7JBOGWKMT4SE

not attested not anchored not stored refs pending

I-factorial quantum torsors

Kenny De Commer

arxiv:1612.00640 v3 · 2016-12-02 · 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{2QTO7FBHT7RULS7JBOGWKMT4SE}

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	2026-05-18T00:49:57.887915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d426ef94279fe345cbe90b8d65327c9128d5e1c040994631dd4ed4ab15fa8f8b

Aliases

arxiv: 1612.00640 · arxiv_version: 1612.00640v3 · doi: 10.48550/arxiv.1612.00640 · pith_short_12: 2QTO7FBHT7RU · pith_short_16: 2QTO7FBHT7RULS7J · pith_short_8: 2QTO7FBH

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/2QTO7FBHT7RULS7JBOGWKMT4SE \
  | 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: d426ef94279fe345cbe90b8d65327c9128d5e1c040994631dd4ed4ab15fa8f8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a94680e4ba0856a8b990f1e8721f4005cd931da6dd46affaf8fb2a1321d9440d",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-12-02T11:32:57Z",
    "title_canon_sha256": "189806f6d9d460602cfe7cd09b9eb8601b26089f716bb55361e1da0f56d28f29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00640",
    "kind": "arxiv",
    "version": 3
  }
}