Pith Number

pith:B6H6QXC3

pith:2001:B6H6QXC3HNJUHOTT3GPRFZBFBG

not attested not anchored not stored refs pending

Gluing and wormholes for the Einstein constraint equations

Daniel Pollack, James Isenberg, Rafe Mazzeo

arxiv:gr-qc/0109045 v3 · 2001-09-13 · gr-qc · math.AP · 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{B6H6QXC3HNJUHOTT3GPRFZBFBG}

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	2026-05-18T04:23:47.004422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f8fe85c5b3b5343ba73d99f12e42509a572428af9aa6c05616b4a26209ceecf

Aliases

arxiv: gr-qc/0109045 · arxiv_version: gr-qc/0109045v3 · doi: 10.48550/arxiv.gr-qc/0109045 · pith_short_12: B6H6QXC3HNJU · pith_short_16: B6H6QXC3HNJUHOTT · pith_short_8: B6H6QXC3

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/B6H6QXC3HNJUHOTT3GPRFZBFBG \
  | 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: 0f8fe85c5b3b5343ba73d99f12e42509a572428af9aa6c05616b4a26209ceecf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08f6f24dfb823c17f02a4ff25b35f72a8dd14ff5fd187ce47345b9adb8ae99ae",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-09-13T03:58:09Z",
    "title_canon_sha256": "21bf5c5d03f6e7312839a47e4a44f349d96207db3189041d40036cdba8a8c4a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0109045",
    "kind": "arxiv",
    "version": 3
  }
}