Pith Number

pith:RNFUPYCO

pith:2009:RNFUPYCOYZVALO6X3TRS7TJ6Z5

not attested not anchored not stored refs pending

A Note on Wave Equation in Einstein & de Sitter Spacetime

Anahit Galstian, Karen Yagdjian, Tamotu Kinoshita

arxiv:0908.1196 v2 · 2009-08-08 · math-ph · math.AP · 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{RNFUPYCOYZVALO6X3TRS7TJ6Z5}

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	2026-05-18T04:40:46.476630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b4b47e04ec66a05bbd7dce32fcd3ecf718353aa23e7a840a006aa6db8e2352c

Aliases

arxiv: 0908.1196 · arxiv_version: 0908.1196v2 · doi: 10.48550/arxiv.0908.1196 · pith_short_12: RNFUPYCOYZVA · pith_short_16: RNFUPYCOYZVALO6X · pith_short_8: RNFUPYCO

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/RNFUPYCOYZVALO6X3TRS7TJ6Z5 \
  | 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: 8b4b47e04ec66a05bbd7dce32fcd3ecf718353aa23e7a840a006aa6db8e2352c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02f984aa4c404e63f7ddf08789bd4e6895e62fadbb7533a3a5bb228414e6ea31",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-08-08T22:08:03Z",
    "title_canon_sha256": "7e02233c090eb475cc709c1f8cb1a4a53f37a69a009bab54a36d5d092dd45036"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1196",
    "kind": "arxiv",
    "version": 2
  }
}