Pith Number

pith:W3PWQU3V

pith:2019:W3PWQU3V7E5D7IMEKQFQM6LFHE

not attested not anchored not stored refs pending

Perfect-fluid, generalised Robertson-Walker space-times, and Gray's decomposition

Carlo Alberto Mantica, Luca Guido Molinari, Sameh Shenawy, Young Jin Suh

arxiv:1901.04070 v2 · 2019-01-13 · gr-qc · 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{W3PWQU3V7E5D7IMEKQFQM6LFHE}

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	2026-05-17T23:44:42.665807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6df685375f93a3fa184540b067965392551bab226b5245229c67e6320a34347

Aliases

arxiv: 1901.04070 · arxiv_version: 1901.04070v2 · doi: 10.48550/arxiv.1901.04070 · pith_short_12: W3PWQU3V7E5D · pith_short_16: W3PWQU3V7E5D7IME · pith_short_8: W3PWQU3V

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/W3PWQU3V7E5D7IMEKQFQM6LFHE \
  | 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: b6df685375f93a3fa184540b067965392551bab226b5245229c67e6320a34347

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61fd2af6c926fb69cb822d0d848328a8c9bb556be2e967f1d0c88dc92e8750d1",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-01-13T21:51:48Z",
    "title_canon_sha256": "6af7f0457e85fe2e7aefffb8a500dda1403a3e14c3bc24bd65f16942a4125ace"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04070",
    "kind": "arxiv",
    "version": 2
  }
}