Pith Number

pith:ZG3C4X5Q

pith:2018:ZG3C4X5QS7NNHEQK2MHVBADKSY

not attested not anchored not stored refs pending

Epsilon-strongly groupoid graded rings, the Picard inverse category and cohomology

H\'ector Pinedo, Johan \"Oinert, Patrik Nystedt

arxiv:1805.07812 v3 · 2018-05-20 · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZG3C4X5QS7NNHEQK2MHVBADKSY}

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	2026-05-17T23:58:24.964567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9b62e5fb097dad3920ad30f50806a963bd9864a16f2600cce55332afbe77036

Aliases

arxiv: 1805.07812 · arxiv_version: 1805.07812v3 · doi: 10.48550/arxiv.1805.07812 · pith_short_12: ZG3C4X5QS7NN · pith_short_16: ZG3C4X5QS7NNHEQK · pith_short_8: ZG3C4X5Q

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/ZG3C4X5QS7NNHEQK2MHVBADKSY \
  | 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: c9b62e5fb097dad3920ad30f50806a963bd9864a16f2600cce55332afbe77036

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cecee470311ae707faa598f3869aae6a8696459ebbeace41e1bf3ef19154033",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-05-20T18:42:05Z",
    "title_canon_sha256": "e57e20d8076a249748e0792ac0d8e1f721ba86c6b747ba0d565164c68c1bb8a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.07812",
    "kind": "arxiv",
    "version": 3
  }
}