Pith Number

pith:NBRRJ3XC

pith:2005:NBRRJ3XCPC7SOKQB4MYL3G4TIP

not attested not anchored not stored refs pending

Galactic metric, dark radiation, dark pressure and gravitational lensing in brane world models

K. S. Cheng, T. Harko

arxiv:astro-ph/0509576 v1 · 2005-09-20 · astro-ph · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NBRRJ3XCPC7SOKQB4MYL3G4TIP}

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	2026-05-18T01:07:30.651566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

686314eee278bf272a01e330bd9b9343d023d1d71b086c3815fc8aab4138eb3a

Aliases

arxiv: astro-ph/0509576 · arxiv_version: astro-ph/0509576v1 · doi: 10.48550/arxiv.astro-ph/0509576 · pith_short_12: NBRRJ3XCPC7S · pith_short_16: NBRRJ3XCPC7SOKQB · pith_short_8: NBRRJ3XC

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/NBRRJ3XCPC7SOKQB4MYL3G4TIP \
  | 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: 686314eee278bf272a01e330bd9b9343d023d1d71b086c3815fc8aab4138eb3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d520813fe4389db981ee91c656fa70dec144909d4752da5b3e6406bb807b64e4",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-09-20T04:55:01Z",
    "title_canon_sha256": "b9402c7c450013a40373b5bf4ba1b4fd9ad5b40488a8076790cbf14d4d9add0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0509576",
    "kind": "arxiv",
    "version": 1
  }
}