Pith Number

pith:WSNEWEPB

pith:2002:WSNEWEPBG57MSHOCM5FCDAM5TX

not attested not anchored not stored refs pending

On the topology of vacuum spacetimes

Daniel Pollack, James Isenberg, Rafe Mazzeo

arxiv:gr-qc/0206034 v2 · 2002-06-12 · 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{WSNEWEPBG57MSHOCM5FCDAM5TX}

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	2026-05-18T00:57:19.674870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b49a4b11e1377ec91dc2674a21819d9df9483c9d6517531de19bc9fb0ad3fc96

Aliases

arxiv: gr-qc/0206034 · arxiv_version: gr-qc/0206034v2 · doi: 10.48550/arxiv.gr-qc/0206034 · pith_short_12: WSNEWEPBG57M · pith_short_16: WSNEWEPBG57MSHOC · pith_short_8: WSNEWEPB

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/WSNEWEPBG57MSHOCM5FCDAM5TX \
  | 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: b49a4b11e1377ec91dc2674a21819d9df9483c9d6517531de19bc9fb0ad3fc96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a833caff8c8b63c8018c90f1d508bcad53f3fde057df6c210b4e5ab03410554b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-06-12T18:17:07Z",
    "title_canon_sha256": "cf6c093bb78c64277fafb49ce66991d9d85b13b4653b7477ab11191dc0de034b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0206034",
    "kind": "arxiv",
    "version": 2
  }
}