Pith Number

pith:SMJ5BL6V

pith:2025:SMJ5BL6VEAJZ2ND3NWS6SBJPD6

not attested not anchored not stored refs pending

Carrollian Lie Algebroids: Taming Singular Carrollian Geometries

Andrew James Bruce

arxiv:2510.03877 v4 · 2025-10-04 · math.DG · gr-qc · hep-th · 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{SMJ5BL6VEAJZ2ND3NWS6SBJPD6}

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	2026-06-11T01:09:19.076440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9313d0afd520139d347b6da5e9052f1f93f4b70c98d5a7b41882ab62bae602ab

Aliases

arxiv: 2510.03877 · arxiv_version: 2510.03877v4 · doi: 10.48550/arxiv.2510.03877 · pith_short_12: SMJ5BL6VEAJZ · pith_short_16: SMJ5BL6VEAJZ2ND3 · pith_short_8: SMJ5BL6V

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/SMJ5BL6VEAJZ2ND3NWS6SBJPD6 \
  | 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: 9313d0afd520139d347b6da5e9052f1f93f4b70c98d5a7b41882ab62bae602ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57bca32a2a74359a882435c358f3384cd9935322d1a5be4148845774e94eb6e2",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-10-04T17:03:51Z",
    "title_canon_sha256": "49c004f783c6a8bc0291345aca8bbd915f6c4be5e480fbb56ea3126100a64024"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.03877",
    "kind": "arxiv",
    "version": 4
  }
}