Pith Number

pith:KLASKSFJ

pith:2005:KLASKSFJ7XAPG4RSKQ7OWZEJ2B

not attested not anchored not stored refs pending

A gluing construction for non-vacuum solutions of the Einstein constraint equations

Daniel Pollack, David Maxwell, James Isenberg

arxiv:gr-qc/0501083 v1 · 2005-01-26 · gr-qc · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLASKSFJ7XAPG4RSKQ7OWZEJ2B}

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	2026-07-04T14:48:59.001294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52c12548a9fdc0f37232543eeb6489d05275c3c961ea57673d41bea909b98112

Aliases

arxiv: gr-qc/0501083 · arxiv_version: gr-qc/0501083v1 · doi: 10.48550/arxiv.gr-qc/0501083 · pith_short_12: KLASKSFJ7XAP · pith_short_16: KLASKSFJ7XAPG4RS · pith_short_8: KLASKSFJ

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/KLASKSFJ7XAPG4RSKQ7OWZEJ2B \
  | 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: 52c12548a9fdc0f37232543eeb6489d05275c3c961ea57673d41bea909b98112

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "613889926852d0487d2765af59b6ddc36c0d775f25585ff9b67e8a6417844b29",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-01-26T22:24:20Z",
    "title_canon_sha256": "61648f07cc6e9153da1f18b62d6643fb9d64fcc6715879bcd732870da391cfb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0501083",
    "kind": "arxiv",
    "version": 1
  }
}