Pith Number

pith:S3Q3QRP7

pith:2024:S3Q3QRP7HY3QDSFVCCNMG3333R

not attested not anchored not stored refs pending

On the past maximal development of near-FLRW data for the Einstein scalar-field Vlasov system

David Fajman, Liam Urban

arxiv:2402.08544 v2 · 2024-02-13 · gr-qc · math-ph · math.AP · 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{S3Q3QRP7HY3QDSFVCCNMG3333R}

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	2026-07-05T11:09:41.899544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96e1b845ff3e3701c8b5109ac36f7bdc53cf99be6cfa2262ae151e15dd26f0cc

Aliases

arxiv: 2402.08544 · arxiv_version: 2402.08544v2 · doi: 10.48550/arxiv.2402.08544 · pith_short_12: S3Q3QRP7HY3Q · pith_short_16: S3Q3QRP7HY3QDSFV · pith_short_8: S3Q3QRP7

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/S3Q3QRP7HY3QDSFVCCNMG3333R \
  | 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: 96e1b845ff3e3701c8b5109ac36f7bdc53cf99be6cfa2262ae151e15dd26f0cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a993342da517f320f229ecb3574a5122e6744db388f217d84bbab4f9f4af01b",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-02-13T15:50:32Z",
    "title_canon_sha256": "8b9387992f1f24d9fdb657e467df5bec8a730819c42e117fa78c292069477b3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.08544",
    "kind": "arxiv",
    "version": 2
  }
}