Pith Number

pith:5ZANCSR6

pith:2025:5ZANCSR66BADZ6D6VEMQAMHYW7

not attested not anchored not stored refs pending

Carrollian $\mathbb{R}^\times$-bundles II: Sigma Models on Event Horizons

Andrew James Bruce

arxiv:2507.00544 v3 · 2025-07-01 · 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{5ZANCSR66BADZ6D6VEMQAMHYW7}

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	2026-06-10T01:10:56.495606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee40d14a3ef0403cf87ea9190030f8b7cc2c9c15b896f853b5668357bb764cd4

Aliases

arxiv: 2507.00544 · arxiv_version: 2507.00544v3 · doi: 10.48550/arxiv.2507.00544 · pith_short_12: 5ZANCSR66BAD · pith_short_16: 5ZANCSR66BADZ6D6 · pith_short_8: 5ZANCSR6

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/5ZANCSR66BADZ6D6VEMQAMHYW7 \
  | 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: ee40d14a3ef0403cf87ea9190030f8b7cc2c9c15b896f853b5668357bb764cd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a091aca6886c02ddc2ad1ceef0b5e9674812e6a29e65c3e23ef07590abd606a2",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-07-01T08:05:10Z",
    "title_canon_sha256": "d512a8b7e743626dcd508086eaf370b12b997c839528bcbf0d62e0351c3f445c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.00544",
    "kind": "arxiv",
    "version": 3
  }
}