Pith Number

pith:XWDLDPPS

pith:2006:XWDLDPPSFJJATV7F5TJL3L3XZS

not attested not anchored not stored refs pending

Static vacuum solutions from convergent null data expansions at space-like infinity

Helmut Friedrich

arxiv:gr-qc/0606133 v1 · 2006-06-30 · 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{XWDLDPPSFJJATV7F5TJL3L3XZS}

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	2026-05-18T04:18:02.099099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd86b1bdf22a5209d7e5ecd2bdaf77cc97ba51a399d24f28b991b0e1a6507e04

Aliases

arxiv: gr-qc/0606133 · arxiv_version: gr-qc/0606133v1 · doi: 10.48550/arxiv.gr-qc/0606133 · pith_short_12: XWDLDPPSFJJA · pith_short_16: XWDLDPPSFJJATV7F · pith_short_8: XWDLDPPS

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/XWDLDPPSFJJATV7F5TJL3L3XZS \
  | 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: bd86b1bdf22a5209d7e5ecd2bdaf77cc97ba51a399d24f28b991b0e1a6507e04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3240ae279b66f4df0aa128d8c484e43feddc0ca97214cbd0fb01ac52d034d149",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-06-30T10:37:12Z",
    "title_canon_sha256": "6e1d2c8d5600cee11ffc1be8c867eb685a14aa90f44618787eb14a48d6967e8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0606133",
    "kind": "arxiv",
    "version": 1
  }
}