Pith Number

pith:YNARHA6K

pith:2012:YNARHA6K46T4BRSV76NJTFFWLK

not attested not anchored not stored refs pending

Parametric Solution Of Certain Nonlinear Differential Equations In Cosmology II

Floyd L. Williams, Jennie D'Ambroise

arxiv:1208.4812 v1 · 2012-08-23 · gr-qc · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YNARHA6K46T4BRSV76NJTFFWLK}

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	2026-05-18T03:48:12.631405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3411383cae7a7c0c655ff9a9994b65a9bf560393c5c3fb957a90b93650cd728

Aliases

arxiv: 1208.4812 · arxiv_version: 1208.4812v1 · doi: 10.48550/arxiv.1208.4812 · pith_short_12: YNARHA6K46T4 · pith_short_16: YNARHA6K46T4BRSV · pith_short_8: YNARHA6K

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/YNARHA6K46T4BRSV76NJTFFWLK \
  | 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: c3411383cae7a7c0c655ff9a9994b65a9bf560393c5c3fb957a90b93650cd728

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "deb8bc71c92319e1dafadd110477bf06df47cedc75a9072c9034fd2ef10698d9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-08-23T17:41:47Z",
    "title_canon_sha256": "f98a116223b8d9eced83e23960757e56519501692f801006a780fcdf4f9a5cfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4812",
    "kind": "arxiv",
    "version": 1
  }
}