Pith Number

pith:PJTJY3HC

pith:1994:PJTJY3HC6RDWJICOOJEBGOE3MZ

not attested not anchored not stored refs pending

Long wavelength iteration of Einstein's equations near a spacetime singularity

D. Langlois, N. Deruelle

arxiv:gr-qc/9411040 v1 · 1994-11-15 · 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{PJTJY3HC6RDWJICOOJEBGOE3MZ}

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.

Cited by

3 papers in Pith

Locality in effective field theory for inflationary soft modes

Cosmological long-wavelength solutions in non-adiabatic multi-fluid systems

Primordial Black Hole from Tensor-induced Density Fluctuation: First-order Phase Transitions and Domain Walls

Receipt and verification

First computed	2026-07-04T15:56:56.136256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a669c6ce2f44764a04e724813389b664835a8cd92459607deff82760e81b5ee

Aliases

arxiv: gr-qc/9411040 · arxiv_version: gr-qc/9411040v1 · doi: 10.48550/arxiv.gr-qc/9411040 · pith_short_12: PJTJY3HC6RDW · pith_short_16: PJTJY3HC6RDWJICO · pith_short_8: PJTJY3HC

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/PJTJY3HC6RDWJICOOJEBGOE3MZ \
  | 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: 7a669c6ce2f44764a04e724813389b664835a8cd92459607deff82760e81b5ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e14c692f18ebaf7894d08fe0041b335ab971650fb35203965c7c97d60f002fe7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1994-11-15T10:50:45Z",
    "title_canon_sha256": "f92f9bf2bdde5e225e17fcc4fdb7bbeccfcf0d957688bc8e48d1f169d3f5cc52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9411040",
    "kind": "arxiv",
    "version": 1
  }
}