Pith Number

pith:LI3NK3RJ

pith:2016:LI3NK3RJO63YR3P2BCGIKHYX5Q

not attested not anchored not stored refs pending

Pertinency of Hopf actions and quotient categories of Cohen-Macaulay algebras

J. J. Zhang, J.-W. He, Y.-H. Bao

arxiv:1603.02346 v3 · 2016-03-08 · 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{LI3NK3RJO63YR3P2BCGIKHYX5Q}

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	2026-05-18T00:32:44.676932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a36d56e2977b788edfa088c851f17ec31bf15f7751acf8dde59613090b80cba

Aliases

arxiv: 1603.02346 · arxiv_version: 1603.02346v3 · doi: 10.48550/arxiv.1603.02346 · pith_short_12: LI3NK3RJO63Y · pith_short_16: LI3NK3RJO63YR3P2 · pith_short_8: LI3NK3RJ

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/LI3NK3RJO63YR3P2BCGIKHYX5Q \
  | 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: 5a36d56e2977b788edfa088c851f17ec31bf15f7751acf8dde59613090b80cba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1153358d332196a49a3b96c5edfa2a66babd3b2f2eb30641fe958e2964564cea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-03-08T00:38:38Z",
    "title_canon_sha256": "741ce879c38693bf05b5c56c3f1c0793cddcf6d24ed38dbfae0c186f28890151"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02346",
    "kind": "arxiv",
    "version": 3
  }
}