Pith Number

pith:PCAFXHFO

pith:2012:PCAFXHFOEKVHDQK3F27XDJ6D3J

not attested not anchored not stored refs pending

Revisit relic gravitational waves based on the latest CMB observations

Ming-lei Tong

arxiv:1206.2109 v1 · 2012-06-11 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCAFXHFOEKVHDQK3F27XDJ6D3J}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:57:00.120358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78805b9cae22aa71c15b2ebf71a7c3da68a7627edafeff225e2f4fc15685c510

Aliases

arxiv: 1206.2109 · arxiv_version: 1206.2109v1 · doi: 10.48550/arxiv.1206.2109 · pith_short_12: PCAFXHFOEKVH · pith_short_16: PCAFXHFOEKVHDQK3 · pith_short_8: PCAFXHFO

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/PCAFXHFOEKVHDQK3F27XDJ6D3J \
  | 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: 78805b9cae22aa71c15b2ebf71a7c3da68a7627edafeff225e2f4fc15685c510

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d5f4eb4b36bc6dcd1f65656deee2bfa5cf791c6527a8cb8c7726898520a3771",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-06-11T06:52:41Z",
    "title_canon_sha256": "c891954803d8504a80221bc922c8e6c958e3e357d868e59ded4f2fbd228cebe9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2109",
    "kind": "arxiv",
    "version": 1
  }
}