Pith Number

pith:73WWZQ5V

pith:2013:73WWZQ5VDV3DXOV6BXTY2UIJSH

not attested not anchored not stored refs pending

Scale-invariance as the origin of dark radiation?

Anna Tokareva, Dmitry Gorbunov

arxiv:1307.5298 v2 · 2013-07-19 · astro-ph.CO · gr-qc · hep-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{73WWZQ5VDV3DXOV6BXTY2UIJSH}

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	2026-05-18T01:48:42.384422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

feed6cc3b51d763bbabe0de78d510991fbccaf31d2e0049e60905339cf1ddece

Aliases

arxiv: 1307.5298 · arxiv_version: 1307.5298v2 · doi: 10.48550/arxiv.1307.5298 · pith_short_12: 73WWZQ5VDV3D · pith_short_16: 73WWZQ5VDV3DXOV6 · pith_short_8: 73WWZQ5V

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/73WWZQ5VDV3DXOV6BXTY2UIJSH \
  | 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: feed6cc3b51d763bbabe0de78d510991fbccaf31d2e0049e60905339cf1ddece

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a12925fdca774be0453154075471640bc813bcbf1a05a16df29921ab2d327beb",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-07-19T18:06:24Z",
    "title_canon_sha256": "65cfecde868260cf06f3342024f8e24a22119c3d04f730a3f1e4135c5be7234c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5298",
    "kind": "arxiv",
    "version": 2
  }
}