Pith Number

pith:4NWCHQKX

pith:2005:4NWCHQKX5BIBBESKSTWX6DVIAD

not attested not anchored not stored refs pending

Topologically general U(1) symmetric Einstein spacetimes with AVTD behavior

J. Isenberg, V. Moncrief, Y. Choquet-Bruhat

arxiv:gr-qc/0502104 v1 · 2005-02-24 · 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{4NWCHQKX5BIBBESKSTWX6DVIAD}

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	2026-05-18T04:36:20.173830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e36c23c157e85010924a94ed7f0ea800cdb5d1c51f0357cf08ecb34c1a1d9191

Aliases

arxiv: gr-qc/0502104 · arxiv_version: gr-qc/0502104v1 · doi: 10.48550/arxiv.gr-qc/0502104 · pith_short_12: 4NWCHQKX5BIB · pith_short_16: 4NWCHQKX5BIBBESK · pith_short_8: 4NWCHQKX

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/4NWCHQKX5BIBBESKSTWX6DVIAD \
  | 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: e36c23c157e85010924a94ed7f0ea800cdb5d1c51f0357cf08ecb34c1a1d9191

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed8263ca89fa7cf991d300c37f225dbca8df0e64db75a94d287cb86ebde8bb9b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-02-24T17:16:50Z",
    "title_canon_sha256": "051efe32093cde4decdd8055d679f92609c308630bc27bd3b2a485c9911cb6e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0502104",
    "kind": "arxiv",
    "version": 1
  }
}