Pith Number

pith:2LXZUEVU

pith:2026:2LXZUEVUHOVWYPXE5OIUOYG4CZ

not attested not anchored not stored refs pending

Lipschitz continuity of the cut time for globally hyperbolic spacetimes

Alec Metsch

arxiv:2607.14374 v1 · 2026-07-15 · math.DG · 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{2LXZUEVUHOVWYPXE5OIUOYG4CZ}

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	2026-07-17T00:21:08.458131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2ef9a12b43bab6c3ee4eb914760dc166acafe0c95f07185895991adc3e42bba

Aliases

arxiv: 2607.14374 · arxiv_version: 2607.14374v1 · doi: 10.48550/arxiv.2607.14374 · pith_short_12: 2LXZUEVUHOVW · pith_short_16: 2LXZUEVUHOVWYPXE · pith_short_8: 2LXZUEVU

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/2LXZUEVUHOVWYPXE5OIUOYG4CZ \
  | 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: d2ef9a12b43bab6c3ee4eb914760dc166acafe0c95f07185895991adc3e42bba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5977d8dbe99b228d87e5ba19a731705e598dd818164e25555c6ceb8d4ae55995",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-15T21:24:11Z",
    "title_canon_sha256": "ff4e6ca4e01a1061470bf90062800a609471a8e47845c545b1c129b827124aee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14374",
    "kind": "arxiv",
    "version": 1
  }
}