Pith Number

pith:DEVELWV6

pith:2013:DEVELWV6OKZ4T7VI266VW3EWMW

not attested not anchored not stored refs pending

Average expansion rate and light propagation in a cosmological Tardis spacetime

Mikko Lavinto, Sebastian J. Szybka, Syksy Rasanen

arxiv:1308.6731 v2 · 2013-08-30 · astro-ph.CO · 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{DEVELWV6OKZ4T7VI266VW3EWMW}

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	2026-05-18T03:03:09.752878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

192a45dabe72b3c9fea8d7bd5b6c96658e5f23180fde4c7911f0e3228d787e38

Aliases

arxiv: 1308.6731 · arxiv_version: 1308.6731v2 · doi: 10.48550/arxiv.1308.6731 · pith_short_12: DEVELWV6OKZ4 · pith_short_16: DEVELWV6OKZ4T7VI · pith_short_8: DEVELWV6

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/DEVELWV6OKZ4T7VI266VW3EWMW \
  | 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: 192a45dabe72b3c9fea8d7bd5b6c96658e5f23180fde4c7911f0e3228d787e38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfa3c84ce5044a86dbfb1d2953afb030d212e3074b84ca90574a7e9c5e68bd1b",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-08-30T12:58:24Z",
    "title_canon_sha256": "48be1d4fc8c027710483674fcfdc4b03cfaaf2bb93dec9b168dc840a380bda6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6731",
    "kind": "arxiv",
    "version": 2
  }
}