Pith Number

pith:NAGCY5RK

pith:2012:NAGCY5RKVI5JKZMSDSSC25JHR4

not attested not anchored not stored refs pending

The CMB bispectrum from recombination

Filippo Vernizzi, Zhiqi Huang

arxiv:1212.3573 v1 · 2012-12-14 · astro-ph.CO · 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{NAGCY5RKVI5JKZMSDSSC25JHR4}

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	2026-05-18T02:19:34.382808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

680c2c762aaa3a9565921ca42d75278f37a8a307d79c9475b3f33ab3bed0e6bd

Aliases

arxiv: 1212.3573 · arxiv_version: 1212.3573v1 · doi: 10.48550/arxiv.1212.3573 · pith_short_12: NAGCY5RKVI5J · pith_short_16: NAGCY5RKVI5JKZMS · pith_short_8: NAGCY5RK

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/NAGCY5RKVI5JKZMSDSSC25JHR4 \
  | 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: 680c2c762aaa3a9565921ca42d75278f37a8a307d79c9475b3f33ab3bed0e6bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8ab8704d7e22667d4da2474ce828ecef0443c093cc109a700ac70626085a945",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-12-14T19:55:20Z",
    "title_canon_sha256": "c7a32ba7df0e7a4a98484aadc81cc9c5c7f4c2148520b3d72406989d388aa724"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3573",
    "kind": "arxiv",
    "version": 1
  }
}