Pith Number

pith:WDVAM2UF

pith:2012:WDVAM2UF2C5U2W7IXDU72KGHAR

not attested not anchored not stored refs pending

The Bondi-Sachs metric at the vertex of a null cone: axially symmetric vacuum solutions

Ewald M\"uller, Thomas M\"adler

arxiv:1211.4980 v2 · 2012-11-21 · 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{WDVAM2UF2C5U2W7IXDU72KGHAR}

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	2026-05-18T03:33:13.690004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0ea066a85d0bb4d5be8b8e9fd28c704756b164671bb09f05e3f81cca9afce1e

Aliases

arxiv: 1211.4980 · arxiv_version: 1211.4980v2 · doi: 10.48550/arxiv.1211.4980 · pith_short_12: WDVAM2UF2C5U · pith_short_16: WDVAM2UF2C5U2W7I · pith_short_8: WDVAM2UF

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/WDVAM2UF2C5U2W7IXDU72KGHAR \
  | 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: b0ea066a85d0bb4d5be8b8e9fd28c704756b164671bb09f05e3f81cca9afce1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fbfa4b8eb7fae93fb2ffd884a1161413bc077ff2ed2738e404c23682dd5d876",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-11-21T10:07:42Z",
    "title_canon_sha256": "b41e29838729b9ee44b98e06e9adc02c5f4030dda9ca91d12d217ad5e00b612f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4980",
    "kind": "arxiv",
    "version": 2
  }
}