Pith Number

pith:BYH3WPY5

pith:2016:BYH3WPY5VWA3CCSN5CSITTKT5C

not attested not anchored not stored refs pending

Groupoids and singular manifolds

Karsten Bohlen

arxiv:1601.04166 v2 · 2016-01-16 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BYH3WPY5VWA3CCSN5CSITTKT5C}

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	2026-05-18T00:44:37.210039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e0fbb3f1dad81b10a4de8a489cd53e8a0828f3018bc598cc783a291828b9a9a

Aliases

arxiv: 1601.04166 · arxiv_version: 1601.04166v2 · doi: 10.48550/arxiv.1601.04166 · pith_short_12: BYH3WPY5VWA3 · pith_short_16: BYH3WPY5VWA3CCSN · pith_short_8: BYH3WPY5

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/BYH3WPY5VWA3CCSN5CSITTKT5C \
  | 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: 0e0fbb3f1dad81b10a4de8a489cd53e8a0828f3018bc598cc783a291828b9a9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dabe9167474adbd42c1cdd4da2125c337ce9cdfa704ff7c27b5ab8e8964bca62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-01-16T14:13:13Z",
    "title_canon_sha256": "bb2bb0507f0fa3c4f34c264d5b623405e0f93b3a19fa87307f7f84d0001afd3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04166",
    "kind": "arxiv",
    "version": 2
  }
}