Pith Number

pith:P2ULK4KD

pith:2007:P2ULK4KDH6OGN52WJ5TC4WBJ43

not attested not anchored not stored refs pending

Probing for the Cosmological Parameters with PLANCK Measurement

Gong-Bo Zhao, Hong Li, Jun-Qing Xia, Xinmin Zhang

arxiv:0708.1111 v2 · 2007-08-08 · astro-ph · 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{P2ULK4KDH6OGN52WJ5TC4WBJ43}

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	2026-05-18T02:35:30.621649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ea8b571433f9c66f7564f662e5829e6d86d13ab863aba0c7bff82c9fa1588e3

Aliases

arxiv: 0708.1111 · arxiv_version: 0708.1111v2 · doi: 10.48550/arxiv.0708.1111 · pith_short_12: P2ULK4KDH6OG · pith_short_16: P2ULK4KDH6OGN52W · pith_short_8: P2ULK4KD

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/P2ULK4KDH6OGN52WJ5TC4WBJ43 \
  | 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: 7ea8b571433f9c66f7564f662e5829e6d86d13ab863aba0c7bff82c9fa1588e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d55b0778e131fadcfe1546a75defb7aa09d38f8948b303249b19aadd8e0bc07",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-08-08T14:46:44Z",
    "title_canon_sha256": "87cde31193f22a0bb6dab7f209203b1bbc472e0a40321dbb52ad0149a9b156dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.1111",
    "kind": "arxiv",
    "version": 2
  }
}