Pith Number

pith:FRCEHZ6M

pith:2018:FRCEHZ6MPBXMM25P4THPHGZSHK

not attested not anchored not stored refs pending

Homology of \'etale groupoids, a graded approach

Huanhuan Li, Roozbeh Hazrat

arxiv:1806.03398 v2 · 2018-06-09 · math.KT · math.OA · 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{FRCEHZ6MPBXMM25P4THPHGZSHK}

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	2026-05-17T23:55:58.489339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c4443e7cc786ec66bafe4cef39b323a9ca9b5c1a1d181c8acc1e2eba1519c9e

Aliases

arxiv: 1806.03398 · arxiv_version: 1806.03398v2 · doi: 10.48550/arxiv.1806.03398 · pith_short_12: FRCEHZ6MPBXM · pith_short_16: FRCEHZ6MPBXMM25P · pith_short_8: FRCEHZ6M

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/FRCEHZ6MPBXMM25P4THPHGZSHK \
  | 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: 2c4443e7cc786ec66bafe4cef39b323a9ca9b5c1a1d181c8acc1e2eba1519c9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9c28ef848923f2775d7f2b5de5b07abe5739aac88eec6afc5cd9d0c83a3fe00",
    "cross_cats_sorted": [
      "math.OA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2018-06-09T02:48:01Z",
    "title_canon_sha256": "497f346695da72416cebc1954dda95d914693e345b935e73d3e319302f68acdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03398",
    "kind": "arxiv",
    "version": 2
  }
}