Pith Number

pith:45LXPYZI

pith:2025:45LXPYZIEHHIWVCIHHWVENLVEV

not attested not anchored not stored refs pending

A note on the Lorentzian splitting theorem

Gregory J. Galloway

arxiv:2504.05028 v2 · 2025-04-07 · math.DG · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45LXPYZIEHHIWVCIHHWVENLVEV}

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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

A Lorentzian splitting theorem for continuously differentiable metrics and weights

Receipt and verification

First computed	2026-07-05T10:51:35.971092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e75777e32821ce8b544839ed5235752577fbd0cd4635768a00e1e9b0b82d2b04

Aliases

arxiv: 2504.05028 · arxiv_version: 2504.05028v2 · doi: 10.48550/arxiv.2504.05028 · pith_short_12: 45LXPYZIEHHI · pith_short_16: 45LXPYZIEHHIWVCI · pith_short_8: 45LXPYZI

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/45LXPYZIEHHIWVCIHHWVENLVEV \
  | 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: e75777e32821ce8b544839ed5235752577fbd0cd4635768a00e1e9b0b82d2b04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7b788175732191b2ab0dcbf1094ce36b8c83236107223a0f9ac7cfb20485e51",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-04-07T12:51:16Z",
    "title_canon_sha256": "f9366cbbd3f5cfb31ccf8f8b1fc20fa70fcb6df1e487573fa10f6beccaf48340"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.05028",
    "kind": "arxiv",
    "version": 2
  }
}