Pith Number

pith:DJPU4WHE

pith:1999:DJPU4WHEOOF7QWMYDOEXZ4QUYL

not attested not anchored not stored refs pending

Well-posed forms of the 3+1 conformally-decomposed Einstein equations

Oscar A. Reula, Simonetta Frittelli

arxiv:gr-qc/9904048 v1 · 1999-04-19 · 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{DJPU4WHEOOF7QWMYDOEXZ4QUYL}

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	2026-05-18T01:39:18.065564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a5f4e58e4738bf859981b897cf214c2fe0c1bd1bce0214797a228796c7a65e6

Aliases

arxiv: gr-qc/9904048 · arxiv_version: gr-qc/9904048v1 · doi: 10.48550/arxiv.gr-qc/9904048 · pith_short_12: DJPU4WHEOOF7 · pith_short_16: DJPU4WHEOOF7QWMY · pith_short_8: DJPU4WHE

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/DJPU4WHEOOF7QWMYDOEXZ4QUYL \
  | 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: 1a5f4e58e4738bf859981b897cf214c2fe0c1bd1bce0214797a228796c7a65e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "151ff1570b64b6efcba8753b8e88c1bc1d04c6457b5080ffc5e99c033f3917ec",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-04-19T22:02:33Z",
    "title_canon_sha256": "f9912064a1f991c624fd1ba7c576cf998e9a36b60283789f8ccf83f3fa87f9cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9904048",
    "kind": "arxiv",
    "version": 1
  }
}