Pith Number

pith:TFSEUWGK

pith:2011:TFSEUWGK5AAROZ2KO6ZB7DPZKE

not attested not anchored not stored refs pending

Partial groupoid actions: globalization, Morita theory and Galois theory

Antonio Paques, Dirceu Bagio

arxiv:1112.0670 v1 · 2011-12-03 · 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{TFSEUWGK5AAROZ2KO6ZB7DPZKE}

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	2026-05-18T01:27:15.544539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99644a58cae80117674a77b21f8df95108ad2ece5db2489d5d0170ce986bbbbe

Aliases

arxiv: 1112.0670 · arxiv_version: 1112.0670v1 · doi: 10.48550/arxiv.1112.0670 · pith_short_12: TFSEUWGK5AAR · pith_short_16: TFSEUWGK5AAROZ2K · pith_short_8: TFSEUWGK

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/TFSEUWGK5AAROZ2KO6ZB7DPZKE \
  | 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: 99644a58cae80117674a77b21f8df95108ad2ece5db2489d5d0170ce986bbbbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e4ba163997795b113f7988982ff28095165ec0b848d1a4c2b513ffd66627679",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-12-03T16:10:14Z",
    "title_canon_sha256": "2b6ae5446f7af5656861e45af19e074187799cf0ba7b778c7be2e89c2fba175c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0670",
    "kind": "arxiv",
    "version": 1
  }
}