Pith Number

pith:KCPGAUOM

pith:1998:KCPGAUOMT34E3TMQAKDXSFX5D7

not attested not anchored not stored refs pending

Light Propagation in inhomogeneous Universes

Hugo Martel (University of Texas), Premana W. Premadi (Tohoku University), Richard A. Matzner (University of Texas)

arxiv:astro-ph/9807129 v1 · 1998-07-13 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCPGAUOMT34E3TMQAKDXSFX5D7}

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	2026-05-18T01:21:49.844722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

509e6051cc9ef84dcd9002877916fd1ff05cdb20eadba3b754927fcecd02e5c6

Aliases

arxiv: astro-ph/9807129 · arxiv_version: astro-ph/9807129v1 · doi: 10.48550/arxiv.astro-ph/9807129 · pith_short_12: KCPGAUOMT34E · pith_short_16: KCPGAUOMT34E3TMQ · pith_short_8: KCPGAUOM

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/KCPGAUOMT34E3TMQAKDXSFX5D7 \
  | 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: 509e6051cc9ef84dcd9002877916fd1ff05cdb20eadba3b754927fcecd02e5c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ffc2fb9aca66e5ee5122b6b1558a030b7dfdf303e1b80e20448bf5aeed196c1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1998-07-13T22:56:17Z",
    "title_canon_sha256": "6ba9b526ec886d64d0e3023845fb453aee46df6d47bcd1da5eeab95b9253406b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9807129",
    "kind": "arxiv",
    "version": 1
  }
}