Pith Number

pith:LC4LRYOM

pith:2019:LC4LRYOMQCIGJOTXUYBZJ6AWOQ

not attested not anchored not stored refs pending

Structure of Finite-Dimensional Protori

Wayne Lewis

arxiv:1908.04195 v1 · 2019-08-08 · math.GR · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LC4LRYOMQCIGJOTXUYBZJ6AWOQ}

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	2026-07-04T23:53:21.532078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58b8b8e1cc809064ba77a60394f816742849c044087f3bb04bd8157208f23f3a

Aliases

arxiv: 1908.04195 · arxiv_version: 1908.04195v1 · doi: 10.48550/arxiv.1908.04195 · pith_short_12: LC4LRYOMQCIG · pith_short_16: LC4LRYOMQCIGJOTX · pith_short_8: LC4LRYOM

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/LC4LRYOMQCIGJOTXUYBZJ6AWOQ \
  | 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: 58b8b8e1cc809064ba77a60394f816742849c044087f3bb04bd8157208f23f3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c94303b3dd43ce9f9cf51b95c78c08fd474c3377fd2125765e3b4eeadb1a992",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-08-08T21:12:56Z",
    "title_canon_sha256": "b3d0d9fea7a6f24bc1bcb2955a9deae8e51e535b1ce43d729224b32b55b9cebb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04195",
    "kind": "arxiv",
    "version": 1
  }
}