Pith Number

pith:GIWFDH4H

pith:2009:GIWFDH4HMDEM5F3SPIWQVGZDT7

not attested not anchored not stored refs pending

A simple proof of Birkhoff's theorem for cosmological constant

Donald M. Witt, Kristin Schleich

arxiv:0908.4110 v2 · 2009-08-27 · 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{GIWFDH4HMDEM5F3SPIWQVGZDT7}

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

Black Hole Interiors as a Laboratory for Time-Dependent Classical Double Copy

Receipt and verification

First computed	2026-05-18T02:12:21.813332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

322c519f8760c8ce97727a2d0a9b239ff413471eea2f3623ad6fcc2ec6fe1cbf

Aliases

arxiv: 0908.4110 · arxiv_version: 0908.4110v2 · doi: 10.48550/arxiv.0908.4110 · pith_short_12: GIWFDH4HMDEM · pith_short_16: GIWFDH4HMDEM5F3S · pith_short_8: GIWFDH4H

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/GIWFDH4HMDEM5F3SPIWQVGZDT7 \
  | 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: 322c519f8760c8ce97727a2d0a9b239ff413471eea2f3623ad6fcc2ec6fe1cbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0aafa42b71468b20749804f11dd01dd1b9f8a75f349995146a3b43622c92c1c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-08-27T23:35:43Z",
    "title_canon_sha256": "37e59dbdb773ba344a8026f3e613e6e1d4a6a360e42f129ea525d1a7efe7c573"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.4110",
    "kind": "arxiv",
    "version": 2
  }
}