Pith Number

pith:EQEFU42N

pith:2023:EQEFU42NDN2C5ZKYZP6A5V5USV

not attested not anchored not stored refs pending

Spherical harmonics representation of the gravitational phase shift

Slava G. Turyshev, Viktor T. Toth

arxiv:2303.07270 v2 · 2023-03-13 · gr-qc · astro-ph.EP · math-ph · math.MP · physics.geo-ph · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EQEFU42NDN2C5ZKYZP6A5V5USV}

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	2026-07-05T06:09:49.505230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24085a734d1b742ee558cbfc0ed7b49566f996436090f65f549358a21a54a7e2

Aliases

arxiv: 2303.07270 · arxiv_version: 2303.07270v2 · doi: 10.48550/arxiv.2303.07270 · pith_short_12: EQEFU42NDN2C · pith_short_16: EQEFU42NDN2C5ZKY · pith_short_8: EQEFU42N

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/EQEFU42NDN2C5ZKYZP6A5V5USV \
  | 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: 24085a734d1b742ee558cbfc0ed7b49566f996436090f65f549358a21a54a7e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "766b5c717e23557dbdadcdd59873f987ede7be3fc4ad6a603a45a1d447a040b1",
    "cross_cats_sorted": [
      "astro-ph.EP",
      "math-ph",
      "math.MP",
      "physics.geo-ph",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-03-13T16:47:23Z",
    "title_canon_sha256": "190961d62acbb94d9c0a03bf9995babfe8154b21cd1cb3b320ee49be3c4bc78e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.07270",
    "kind": "arxiv",
    "version": 2
  }
}