Pith Number

pith:VQZQXW7B

pith:2010:VQZQXW7BQXUDBGKYRJLCDJNZWT

not attested not anchored not stored refs pending

Dynamics of solutions of the Einstein equations with twisted Gowdy symmetry

Alan D. Rendall

arxiv:1011.2317 v1 · 2010-11-10 · 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{VQZQXW7BQXUDBGKYRJLCDJNZWT}

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	2026-05-18T02:04:49.420769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac330bdbe185e83099588a5621a5b9b4c5ffa0a49bfbbe2a064909be47be90dd

Aliases

arxiv: 1011.2317 · arxiv_version: 1011.2317v1 · doi: 10.48550/arxiv.1011.2317 · pith_short_12: VQZQXW7BQXUD · pith_short_16: VQZQXW7BQXUDBGKY · pith_short_8: VQZQXW7B

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/VQZQXW7BQXUDBGKYRJLCDJNZWT \
  | 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: ac330bdbe185e83099588a5621a5b9b4c5ffa0a49bfbbe2a064909be47be90dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5179d87feb40fc554c33f069f6264635468496e9519a2abb8ebbb7462b550601",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-11-10T09:13:33Z",
    "title_canon_sha256": "f69ae682d7fff3ab34995a32ba58f83831fad6251c34d34ba73757fcf267e994"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2317",
    "kind": "arxiv",
    "version": 1
  }
}