Pith Number

pith:42BOYH2G

pith:2007:42BOYH2G5Y5KUFPFCADRYX7M6J

not attested not anchored not stored refs pending

Using BBN in cosmological parameter extraction from CMB: a forecast for Planck

Gianpiero Mangano, Jan Hamann, Julien Lesgourgues

arxiv:0712.2826 v2 · 2007-12-18 · astro-ph · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42BOYH2G5Y5KUFPFCADRYX7M6J}

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	2026-07-04T15:39:56.237776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e682ec1f46ee3aaa15e510071c5fecf275bb8c0f799c828882b1bfba534e4781

Aliases

arxiv: 0712.2826 · arxiv_version: 0712.2826v2 · doi: 10.48550/arxiv.0712.2826 · pith_short_12: 42BOYH2G5Y5K · pith_short_16: 42BOYH2G5Y5KUFPF · pith_short_8: 42BOYH2G

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/42BOYH2G5Y5KUFPFCADRYX7M6J \
  | 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: e682ec1f46ee3aaa15e510071c5fecf275bb8c0f799c828882b1bfba534e4781

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc5bc10dc856f0f8897bc7bcc0cdb164cb2ec91b8be4a9fb916681243f22f0b1",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-12-18T14:50:54Z",
    "title_canon_sha256": "b40bbf7d66c6c3bdb63778ec10a3ef6db7b148c9f30e37f9c0a4b54fa90960ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.2826",
    "kind": "arxiv",
    "version": 2
  }
}