Pith Number

pith:GZ26A3RA

pith:2007:GZ26A3RA537NRLBODDGLR5YIZM

not attested not anchored not stored refs pending

Areal Foliation and AVTD Behavior in T^2 Symmetric Spacetimes with Positive Cosmological Constant

Adam Clausen, James Isenberg

arxiv:gr-qc/0701054 v2 · 2007-01-09 · 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{GZ26A3RA537NRLBODDGLR5YIZM}

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	2026-07-04T15:18:49.787956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3675e06e20eefed8ac2e18ccb8f708cb196f509615a93dfbf5939480524a1592

Aliases

arxiv: gr-qc/0701054 · arxiv_version: gr-qc/0701054v2 · doi: 10.48550/arxiv.gr-qc/0701054 · pith_short_12: GZ26A3RA537N · pith_short_16: GZ26A3RA537NRLBO · pith_short_8: GZ26A3RA

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/GZ26A3RA537NRLBODDGLR5YIZM \
  | 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: 3675e06e20eefed8ac2e18ccb8f708cb196f509615a93dfbf5939480524a1592

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9dc607fc590c3b9b8a460bace474082b78b35b3668bc1eef04b62e5cee62193",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-01-09T21:55:06Z",
    "title_canon_sha256": "464702231de93049c4a8384aa431378e27f21b91c0a12ce7c862929d76efae3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0701054",
    "kind": "arxiv",
    "version": 2
  }
}