Pith Number

pith:STMB5B4U

pith:1993:STMB5B4UX6KS26Z6SPVOEMXFJM

not attested not anchored not stored refs pending

Null Geodesics in Perturbed Spacetimes

Mark Birkinshaw, Ted Pyne

arxiv:astro-ph/9303020 v1 · 1993-03-31 · astro-ph · 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{STMB5B4UX6KS26Z6SPVOEMXFJM}

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

2 papers in Pith

Thermal Sunyaev-Zel'dovich cross-correlations with unWISE galaxies: disentangling radio contamination, dust properties, and electron pressure

Taking Inventory of the Most Promising Lensed Radio Sources for Constraining Fundamental Properties of Dark Matter

Receipt and verification

First computed	2026-07-04T15:55:06.012482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94d81e8794bf952d7b3e93eae232e54b1f77efdd4fe7b64bdf197b435b2e306b

Aliases

arxiv: astro-ph/9303020 · arxiv_version: astro-ph/9303020v1 · doi: 10.48550/arxiv.astro-ph/9303020 · pith_short_12: STMB5B4UX6KS · pith_short_16: STMB5B4UX6KS26Z6 · pith_short_8: STMB5B4U

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/STMB5B4UX6KS26Z6SPVOEMXFJM \
  | 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: 94d81e8794bf952d7b3e93eae232e54b1f77efdd4fe7b64bdf197b435b2e306b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16e899c7144294c813206c15b3bebb0e6b248836a1938427b01e7e9c379c7e47",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1993-03-31T18:45:30Z",
    "title_canon_sha256": "a72e7da7f394435f9c5fd58ea6a8ba2c9bf812173e294f021328eeb130f924df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9303020",
    "kind": "arxiv",
    "version": 1
  }
}