Pith Number

pith:XUHRM7OG

pith:2026:XUHRM7OGWOGD2QJ3Y4CMU6PFEQ

not attested not anchored not stored refs pending

Inequivalence of the various notions of completeness for Cartan geometries

Benjamin McKay, Jacob W. Erickson

arxiv:2606.00354 v1 · 2026-05-29 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XUHRM7OGWOGD2QJ3Y4CMU6PFEQ}

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	2026-06-02T01:03:52.426564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd0f167dc6b38c3d413bc704ca79e52418c5038b8ea55c83e52f91c353adc577

Aliases

arxiv: 2606.00354 · arxiv_version: 2606.00354v1 · doi: 10.48550/arxiv.2606.00354 · pith_short_12: XUHRM7OGWOGD · pith_short_16: XUHRM7OGWOGD2QJ3 · pith_short_8: XUHRM7OG

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/XUHRM7OGWOGD2QJ3Y4CMU6PFEQ \
  | 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: bd0f167dc6b38c3d413bc704ca79e52418c5038b8ea55c83e52f91c353adc577

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef429ae4839d6feabccd622b0821b0fa969328601000611d1e1b83a5d2bc5441",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-29T20:58:51Z",
    "title_canon_sha256": "a69f601ab54f53c18360f22dcb09706e8bab6735061b952506daccf4d2e0e07a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00354",
    "kind": "arxiv",
    "version": 1
  }
}