Pith Number

pith:PX7TVQTM

pith:2019:PX7TVQTM2MJ2KQQUERHDFZSGRF

not attested not anchored not stored refs pending

On the initial geometry of a vacuum cosmological spacetime

John Lott

arxiv:1908.02185 v3 · 2019-08-06 · 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{PX7TVQTM2MJ2KQQUERHDFZSGRF}

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

A localized construction of Kasner-like singularities

Receipt and verification

First computed	2026-07-05T01:10:26.868201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dff3ac26cd313a54214244e32e6468959ebb1ff9994a8384b0334c92e1cebd4

Aliases

arxiv: 1908.02185 · arxiv_version: 1908.02185v3 · doi: 10.48550/arxiv.1908.02185 · pith_short_12: PX7TVQTM2MJ2 · pith_short_16: PX7TVQTM2MJ2KQQU · pith_short_8: PX7TVQTM

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/PX7TVQTM2MJ2KQQUERHDFZSGRF \
  | 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: 7dff3ac26cd313a54214244e32e6468959ebb1ff9994a8384b0334c92e1cebd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b1f5ab34c4d51063c3b5dcea155101b223b3da2642603a660915296c20a9c27",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-06T14:40:11Z",
    "title_canon_sha256": "246b76f16597e68331d5fa6db89b57356a57fbf5339892082e1dc97de729933e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02185",
    "kind": "arxiv",
    "version": 3
  }
}