Pith Number

pith:O3ESZMIC

pith:2025:O3ESZMICUFZ33Y75S6VH3LSF6T

not attested not anchored not stored refs pending

Higher path groupoids and the holonomy of formal power series connections

Matthew Cellot

arxiv:2506.23880 v1 · 2025-06-30 · math.AT · math.CT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O3ESZMICUFZ33Y75S6VH3LSF6T}

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	2026-07-05T11:29:29.553896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76c92cb102a173bde3fd97aa7dae45f4ce57e01933d8d7d1e41cffaa9b0ceb92

Aliases

arxiv: 2506.23880 · arxiv_version: 2506.23880v1 · doi: 10.48550/arxiv.2506.23880 · pith_short_12: O3ESZMICUFZ3 · pith_short_16: O3ESZMICUFZ33Y75 · pith_short_8: O3ESZMIC

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/O3ESZMICUFZ33Y75S6VH3LSF6T \
  | 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: 76c92cb102a173bde3fd97aa7dae45f4ce57e01933d8d7d1e41cffaa9b0ceb92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32497cfe270523f298f44e8f5819a9eca2ee35daf985f1e27edbe42491525c23",
    "cross_cats_sorted": [
      "math.CT",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-06-30T14:10:17Z",
    "title_canon_sha256": "f45eaa851c9094855102540d539feb54f7c9300fd60f937329ec44969a761945"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.23880",
    "kind": "arxiv",
    "version": 1
  }
}