Pith Number

pith:BLHZ643Q

pith:1997:BLHZ643Q5GWWJF2P3AQW4A23TH

not attested not anchored not stored refs pending

Numerical treatment of the hyperboloidal initial value problem for the vacuum Einstein equations. II. The evolution equations

J. Frauendiener

arxiv:gr-qc/9712052 v1 · 1997-12-11 · 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{BLHZ643Q5GWWJF2P3AQW4A23TH}

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	2026-05-18T01:08:07.741886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0acf9f7370e9ad64974fd8216e035b99ef066b27828fc1127b8877e7a01c2fe9

Aliases

arxiv: gr-qc/9712052 · arxiv_version: gr-qc/9712052v1 · doi: 10.48550/arxiv.gr-qc/9712052 · pith_short_12: BLHZ643Q5GWW · pith_short_16: BLHZ643Q5GWWJF2P · pith_short_8: BLHZ643Q

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/BLHZ643Q5GWWJF2P3AQW4A23TH \
  | 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: 0acf9f7370e9ad64974fd8216e035b99ef066b27828fc1127b8877e7a01c2fe9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83a0b970e5d7acb291f093efc3be57545f2487c796fcc91782bbb079fc442abd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-12-11T15:50:30Z",
    "title_canon_sha256": "d3f2f610905ef0c5306180ad6c6da2603b21ffd2588b27274482b2b1bc2620a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9712052",
    "kind": "arxiv",
    "version": 1
  }
}