Pith Number

pith:PZ5E5WXU

pith:2018:PZ5E5WXUXNTCUNM5N62TARE46J

not attested not anchored not stored refs pending

Revisiting the Birkhoff theorem from a dual null point of view

Alan Maciel, Jos\'e P. Mimoso, Morgan Le Delliou

arxiv:1803.11547 v3 · 2018-03-30 · gr-qc · astro-ph.CO · 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{PZ5E5WXUXNTCUNM5N62TARE46J}

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

Charged cosmological black holes: a thorough study of a family of solutions

Receipt and verification

First computed	2026-05-18T00:10:27.978094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e7a4edaf4bb662a359d6fb530449cf261b2f7233c1a86e77b544e6337fe6fbd

Aliases

arxiv: 1803.11547 · arxiv_version: 1803.11547v3 · doi: 10.48550/arxiv.1803.11547 · pith_short_12: PZ5E5WXUXNTC · pith_short_16: PZ5E5WXUXNTCUNM5 · pith_short_8: PZ5E5WXU

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/PZ5E5WXUXNTCUNM5N62TARE46J \
  | 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: 7e7a4edaf4bb662a359d6fb530449cf261b2f7233c1a86e77b544e6337fe6fbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62b68407e8d2f60e5bd773e66df97f5acb467b204ec1b70c6103d16c184fee4b",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-03-30T17:35:27Z",
    "title_canon_sha256": "9724987f7264fb441a5a9fc25ee626478ef337410d32624f4ce7943e6705fd04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.11547",
    "kind": "arxiv",
    "version": 3
  }
}