Pith Number

pith:4G46VAZZ

pith:2026:4G46VAZZK36BDGMXLJSEN5PGWX

not attested not anchored not stored refs pending

Ehresmann connections in tangent categories

Geoffrey Cruttwell, Marcello Lanfranchi

arxiv:2606.07037 v1 · 2026-06-05 · math.CT · 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{4G46VAZZK36BDGMXLJSEN5PGWX}

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	2026-06-08T01:04:42.684230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1b9ea833956fc1199975a6446f5e6b5d8226f3029f760b497c92e078e07982c

Aliases

arxiv: 2606.07037 · arxiv_version: 2606.07037v1 · doi: 10.48550/arxiv.2606.07037 · pith_short_12: 4G46VAZZK36B · pith_short_16: 4G46VAZZK36BDGMX · pith_short_8: 4G46VAZZ

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/4G46VAZZK36BDGMXLJSEN5PGWX \
  | 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: e1b9ea833956fc1199975a6446f5e6b5d8226f3029f760b497c92e078e07982c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "341823bf1fad3baa1ee8ccc50fda17ceae11c75f02bc50c832a97d83813e47ed",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-06-05T08:27:05Z",
    "title_canon_sha256": "2e28e2dce0de168eb2a52c69fe5357b25d3819bda449f5fa785e9ad8a664a74c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07037",
    "kind": "arxiv",
    "version": 1
  }
}