Pith Number

pith:ZGKGN2UX

pith:2019:ZGKGN2UXLHXILV6AWLFHKHDXFR

not attested not anchored not stored refs pending

Minimal modular extensions for super-Tannakian categories

C\'esar F. Venegas-Ram\'irez

arxiv:1908.07487 v1 · 2019-08-20 · 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{ZGKGN2UXLHXILV6AWLFHKHDXFR}

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	2026-07-04T23:58:35.573585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c99466ea9759ee85d7c0b2ca751c772c43472554cd2c0cbf130cf2454eb9d883

Aliases

arxiv: 1908.07487 · arxiv_version: 1908.07487v1 · doi: 10.48550/arxiv.1908.07487 · pith_short_12: ZGKGN2UXLHXI · pith_short_16: ZGKGN2UXLHXILV6A · pith_short_8: ZGKGN2UX

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/ZGKGN2UXLHXILV6AWLFHKHDXFR \
  | 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: c99466ea9759ee85d7c0b2ca751c772c43472554cd2c0cbf130cf2454eb9d883

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa4440b5a3131e6ef8e709e0b5f2d62d90791b03284d531da9c2c413c44c6532",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2019-08-20T16:52:08Z",
    "title_canon_sha256": "c43102dcd830e2c6223e6c305af83c5ce40296dd471f0ac60021155f0fa7fe52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07487",
    "kind": "arxiv",
    "version": 1
  }
}