Pith Number

pith:VFY3ZT3Y

pith:2025:VFY3ZT3YCQK77COZWHMDFXMSMC

not attested not anchored not stored refs pending

Carrollian $\mathbb{R}^\times$-bundles: Connections and Beyond

Andrew James Bruce

arxiv:2505.21332 v5 · 2025-05-27 · math.DG · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFY3ZT3YCQK77COZWHMDFXMSMC}

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.

Cited by

1 paper in Pith

Carrollian $\mathbb{R}^\times$-bundles III: The Hodge Star and Hodge--de Rham Laplacians

Receipt and verification

First computed	2026-06-11T01:09:13.481869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a971bccf781415ff89d9b1d832dd92609e1c7b7264d7e59820e25972c81651c3

Aliases

arxiv: 2505.21332 · arxiv_version: 2505.21332v5 · doi: 10.48550/arxiv.2505.21332 · pith_short_12: VFY3ZT3YCQK7 · pith_short_16: VFY3ZT3YCQK77COZ · pith_short_8: VFY3ZT3Y

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/VFY3ZT3YCQK77COZWHMDFXMSMC \
  | 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: a971bccf781415ff89d9b1d832dd92609e1c7b7264d7e59820e25972c81651c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0d29f07048b8a3663e0283550731e6b03fd7be70a83b537fc4470db82249861",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-05-27T15:27:44Z",
    "title_canon_sha256": "c7cfb867644267640901d4639d8cb34b13d19d878da8cab7bbc72705c5068071"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.21332",
    "kind": "arxiv",
    "version": 5
  }
}