Pith Number

pith:FGPMRRH4

pith:2017:FGPMRRH4S4D7T5LQRY4L2V5WP2

not attested not anchored not stored refs pending

Partial (Co)Actions of Multiplier Hopf Algebras: Morita and Galois Theories

D. Azevedo, E. Batista, E. Fontes, G Fonseca, G. Martini

arxiv:1709.08051 v2 · 2017-09-23 · 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{FGPMRRH4S4D7T5LQRY4L2V5WP2}

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	2026-05-17T23:54:36.757141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

299ec8c4fc9707f9f5708e38bd57b67eac8dbee11ed325a65cc5ef744a284240

Aliases

arxiv: 1709.08051 · arxiv_version: 1709.08051v2 · doi: 10.48550/arxiv.1709.08051 · pith_short_12: FGPMRRH4S4D7 · pith_short_16: FGPMRRH4S4D7T5LQ · pith_short_8: FGPMRRH4

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/FGPMRRH4S4D7T5LQRY4L2V5WP2 \
  | 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: 299ec8c4fc9707f9f5708e38bd57b67eac8dbee11ed325a65cc5ef744a284240

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19fe64393f4ea491b102c2cf6fffcb309473f6d339588226c75e51a69ceacaa4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2017-09-23T13:13:26Z",
    "title_canon_sha256": "a9838188a8d5a2716cc455d286a757cc6b06d271a0dd94c474614ff99ddc5418"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08051",
    "kind": "arxiv",
    "version": 2
  }
}