Pith Number

pith:VBG3KD7J

pith:2012:VBG3KD7JCYDD2TJBMTAYGEEZJU

not attested not anchored not stored refs pending

Primordial black holes, zero-point energy and the CMB: The cosmic connection

M. Nouri-Zonoz, S. Zeynizadeh

arxiv:1212.6770 v3 · 2012-12-30 · gr-qc · astro-ph.HE · 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{VBG3KD7JCYDD2TJBMTAYGEEZJU}

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	2026-05-18T02:50:32.567260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a84db50fe916063d4d2164c18310994d0b788fcedc32ac151a03caabf15ed271

Aliases

arxiv: 1212.6770 · arxiv_version: 1212.6770v3 · doi: 10.48550/arxiv.1212.6770 · pith_short_12: VBG3KD7JCYDD · pith_short_16: VBG3KD7JCYDD2TJB · pith_short_8: VBG3KD7J

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/VBG3KD7JCYDD2TJBMTAYGEEZJU \
  | 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: a84db50fe916063d4d2164c18310994d0b788fcedc32ac151a03caabf15ed271

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e447345740c68cb3ed3323cf9b15c4b65f9264c28148f0a5ef6245ede23a803",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-12-30T20:29:07Z",
    "title_canon_sha256": "816fdc40dbea1378627df2f97af62bbdd63ef367fa0d81312aa9c99cf4508264"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6770",
    "kind": "arxiv",
    "version": 3
  }
}