Pith Number

pith:U4BW45G4

pith:2019:U4BW45G4XFVXOYP3JKESPSDOFR

not attested not anchored not stored refs pending

Singularity theorems for warped products and the stability of spatial extra dimensions

Jos\'e M. M. Senovilla, Nastassja Cipriani

arxiv:1901.07271 v3 · 2019-01-22 · gr-qc · hep-th · math-ph · math.DG · 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{U4BW45G4XFVXOYP3JKESPSDOFR}

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	2026-05-17T23:45:30.744488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7036e74dcb96b7761fb4a8927c86e2c71b9c70f11bb6f4ca4a3f6318a07b621

Aliases

arxiv: 1901.07271 · arxiv_version: 1901.07271v3 · doi: 10.48550/arxiv.1901.07271 · pith_short_12: U4BW45G4XFVX · pith_short_16: U4BW45G4XFVXOYP3 · pith_short_8: U4BW45G4

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/U4BW45G4XFVXOYP3JKESPSDOFR \
  | 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: a7036e74dcb96b7761fb4a8927c86e2c71b9c70f11bb6f4ca4a3f6318a07b621

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78c4b705a846c5b928247480abce9a980224ce4d024920e098a5d162beceb034",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-01-22T11:36:53Z",
    "title_canon_sha256": "40afbf2f0a070f332951f89d307550127bd77321ccbdfa636359ea96616bfbac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07271",
    "kind": "arxiv",
    "version": 3
  }
}