Pith Number

pith:HU634TLJ

pith:2004:HU634TLJJ5MBISYXRFTO4KYWGL

not attested not anchored not stored refs pending

Asymptotically simple solutions of the vacuum Einstein equations in even dimensions

Michael T. Anderson, Piotr T. Chrusciel

arxiv:gr-qc/0412020 v1 · 2004-12-06 · 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{HU634TLJJ5MBISYXRFTO4KYWGL}

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	2026-05-18T04:23:46.919385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d3dbe4d694f58144b178966ee2b1632ea43e7eeaafe104fa951d3e036256280

Aliases

arxiv: gr-qc/0412020 · arxiv_version: gr-qc/0412020v1 · doi: 10.48550/arxiv.gr-qc/0412020 · pith_short_12: HU634TLJJ5MB · pith_short_16: HU634TLJJ5MBISYX · pith_short_8: HU634TLJ

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/HU634TLJJ5MBISYXRFTO4KYWGL \
  | 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: 3d3dbe4d694f58144b178966ee2b1632ea43e7eeaafe104fa951d3e036256280

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b455f43ce17bc4a08cab1e6bb82967059c164c6dd3c8e2aa71c4aa426c458a00",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-12-06T16:13:04Z",
    "title_canon_sha256": "b083b436744b5e1f207dc08ff043537083bd3d3a678d732c4fba0bfde322567b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0412020",
    "kind": "arxiv",
    "version": 1
  }
}