Pith Number

pith:HYWLRYZ4

pith:2004:HYWLRYZ4RXAZQWG7CTS6NEW5H5

not attested not anchored not stored refs pending

Strongly hyperbolic second order Einstein's evolution equations

Gabriel Nagy, Omar E. Ortiz, Oscar A. Reula

arxiv:gr-qc/0402123 v2 · 2004-02-26 · 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{HYWLRYZ4RXAZQWG7CTS6NEW5H5}

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	2026-07-04T16:47:41.918338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e2cb8e33c8dc19858df14e5e692dd3f720e2dc075738296a7afaedc783b4616

Aliases

arxiv: gr-qc/0402123 · arxiv_version: gr-qc/0402123v2 · doi: 10.48550/arxiv.gr-qc/0402123 · pith_short_12: HYWLRYZ4RXAZ · pith_short_16: HYWLRYZ4RXAZQWG7 · pith_short_8: HYWLRYZ4

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/HYWLRYZ4RXAZQWG7CTS6NEW5H5 \
  | 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: 3e2cb8e33c8dc19858df14e5e692dd3f720e2dc075738296a7afaedc783b4616

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7341fc4bf4c7869f59c3d53f1de76f8ba8c2d9bb5de86c60ec25e6ea9b349caa",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-02-26T22:38:11Z",
    "title_canon_sha256": "8c5881fc1944cd2b19c8130b3a3468918b2c65c88401d57e59316debe9095adf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0402123",
    "kind": "arxiv",
    "version": 2
  }
}