Pith Number

pith:T3B2N4XC

pith:2005:T3B2N4XCISC3Z6BLSGKWYFKBOU

not attested not anchored not stored refs pending

The Local Effects of Cosmological Variations in Physical 'Constants' and Scalar Fields I. Spherically Symmetric Spacetimes

Douglas J. Shaw, John D. Barrow

arxiv:gr-qc/0512022 v3 · 2005-12-05 · gr-qc · astro-ph · 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{T3B2N4XCISC3Z6BLSGKWYFKBOU}

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	2026-05-18T04:18:02.173038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ec3a6f2e24485bcf82b91956c1541752aa14adc5f6fba201e213926625bfb64

Aliases

arxiv: gr-qc/0512022 · arxiv_version: gr-qc/0512022v3 · doi: 10.48550/arxiv.gr-qc/0512022 · pith_short_12: T3B2N4XCISC3 · pith_short_16: T3B2N4XCISC3Z6BL · pith_short_8: T3B2N4XC

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/T3B2N4XCISC3Z6BLSGKWYFKBOU \
  | 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: 9ec3a6f2e24485bcf82b91956c1541752aa14adc5f6fba201e213926625bfb64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d6c1a7ebf5889f162ae86fbada3db644f9aed563059a32a339ba3da2806f6cd",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-12-05T11:05:54Z",
    "title_canon_sha256": "2093783b057fdc4660a7a256546207f6172aee64d327bb8764c714b9bc4d4373"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0512022",
    "kind": "arxiv",
    "version": 3
  }
}