Pith Number

pith:RIZF32WE

pith:2015:RIZF32WEAZG7VAXQUMX4BQMWJD

not attested not anchored not stored refs pending

Globalization of Twisted partial Hopf actions

Antonio Paques, Eliezer Batista, Marcelo M. S. Alves, Michael Dokuchaev

arxiv:1503.00124 v1 · 2015-02-28 · math.QA · 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{RIZF32WEAZG7VAXQUMX4BQMWJD}

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	2026-05-17T23:53:13.930916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a325deac4064dfa82f0a32fc0c19648f7001f421e884c6095d61af10396592d

Aliases

arxiv: 1503.00124 · arxiv_version: 1503.00124v1 · doi: 10.48550/arxiv.1503.00124 · pith_short_12: RIZF32WEAZG7 · pith_short_16: RIZF32WEAZG7VAXQ · pith_short_8: RIZF32WE

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/RIZF32WEAZG7VAXQUMX4BQMWJD \
  | 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: 8a325deac4064dfa82f0a32fc0c19648f7001f421e884c6095d61af10396592d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc719920715f8365505b4aad1388e8fe8c39a44b1d5db06e4e29725a1e04ec87",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-02-28T13:22:09Z",
    "title_canon_sha256": "d34cbafed3795e3da89d9e2afdff8c64148b6258d4bfb180e4ab7d588102fe8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00124",
    "kind": "arxiv",
    "version": 1
  }
}