Pith Number

pith:ZQX3ZWVH

pith:2011:ZQX3ZWVHQIR7MHIW23ZP6HINAA

not attested not anchored not stored refs pending

Lensing of 21-cm Fluctuations by Primordial Gravitational Waves

Fabian Schmidt, Laura Book, Marc Kamionkowski

arxiv:1112.0567 v1 · 2011-12-02 · astro-ph.CO · gr-qc · 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{ZQX3ZWVHQIR7MHIW23ZP6HINAA}

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	2026-05-18T03:22:54.406852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc2fbcdaa78223f61d16d6f2ff1d0d00163ff84f8b4e150e688b6bcdc3e736bc

Aliases

arxiv: 1112.0567 · arxiv_version: 1112.0567v1 · doi: 10.48550/arxiv.1112.0567 · pith_short_12: ZQX3ZWVHQIR7 · pith_short_16: ZQX3ZWVHQIR7MHIW · pith_short_8: ZQX3ZWVH

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/ZQX3ZWVHQIR7MHIW23ZP6HINAA \
  | 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: cc2fbcdaa78223f61d16d6f2ff1d0d00163ff84f8b4e150e688b6bcdc3e736bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af976df85dfd3a68c3cec1ae7da540016752a9de15a1c6155c653d32f99b8e43",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-12-02T21:00:01Z",
    "title_canon_sha256": "b7a8a7a900f058059e97685a059c6bdfb6d607d2dd4fd6f8c708ae2acdb81b4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0567",
    "kind": "arxiv",
    "version": 1
  }
}