Pith Number

pith:TYS4HZPB

pith:2019:TYS4HZPBOKAMUOXD7X5QGKPNB4

not attested not anchored not stored refs pending

A Groupoid Picture of Elek Algebras

Clemens Borys

arxiv:1908.01329 v1 · 2019-08-04 · 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{TYS4HZPBOKAMUOXD7X5QGKPNB4}

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	2026-07-04T23:51:29.197321Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e25c3e5e17280ca3ae3fdfb0329ed0f1a1e75fa5c3a7819e476d5751caee011

Aliases

arxiv: 1908.01329 · arxiv_version: 1908.01329v1 · doi: 10.48550/arxiv.1908.01329 · pith_short_12: TYS4HZPBOKAM · pith_short_16: TYS4HZPBOKAMUOXD · pith_short_8: TYS4HZPB

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/TYS4HZPBOKAMUOXD7X5QGKPNB4 \
  | 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: 9e25c3e5e17280ca3ae3fdfb0329ed0f1a1e75fa5c3a7819e476d5751caee011

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a09a0f9b3fc572a51b52e78624f6ffe425ddc27ea76b792a10bd6d39479971b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-08-04T12:41:25Z",
    "title_canon_sha256": "cfaea3b926f51f9e9eeb6dadeb33b3edf195501cbb814af2cfaa7a41abf9d35c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01329",
    "kind": "arxiv",
    "version": 1
  }
}