Pith Number

pith:OXGFWQKM

pith:2014:OXGFWQKMIE7Y4UOUGS743OCCHO

not attested not anchored not stored refs pending

Categories of orbit types for proper Lie groupoids

Jack Morava

arxiv:1405.4436 v1 · 2014-05-17 · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OXGFWQKMIE7Y4UOUGS743OCCHO}

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	2026-05-18T02:51:40.887325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75cc5b414c413f8e51d434bfcdb8423b8328825017770f78a06bf6bd2b4c26ee

Aliases

arxiv: 1405.4436 · arxiv_version: 1405.4436v1 · doi: 10.48550/arxiv.1405.4436 · pith_short_12: OXGFWQKMIE7Y · pith_short_16: OXGFWQKMIE7Y4UOU · pith_short_8: OXGFWQKM

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/OXGFWQKMIE7Y4UOUGS743OCCHO \
  | 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: 75cc5b414c413f8e51d434bfcdb8423b8328825017770f78a06bf6bd2b4c26ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "497abd1df7c0b2f28e627e0588eaff0b21caf35daa6f6c07429579eaf283d728",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-05-17T21:55:28Z",
    "title_canon_sha256": "a3b0df49c8fd894b4c59c894ce704b8ae068d8016c37e96eb61ec646f1080e68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4436",
    "kind": "arxiv",
    "version": 1
  }
}