Pith Number

pith:XRVHY3BC

pith:2010:XRVHY3BCWIPEGTTSWXT4JIFGQZ

not attested not anchored not stored refs pending

CMB spectra and bispectra calculations: making the flat-sky approximation rigorous

Cyril Pitrou, Francis Bernardeau, Jean-Philippe Uzan

arxiv:1012.2652 v1 · 2010-12-13 · astro-ph.CO · gr-qc

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

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	2026-05-18T02:04:27.753719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc6a7c6c22b21e434e72b5e7c4a0a6864a8cecc70872ef3e8de784bac8847ab4

Aliases

arxiv: 1012.2652 · arxiv_version: 1012.2652v1 · doi: 10.48550/arxiv.1012.2652 · pith_short_12: XRVHY3BCWIPE · pith_short_16: XRVHY3BCWIPEGTTS · pith_short_8: XRVHY3BC

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/XRVHY3BCWIPEGTTSWXT4JIFGQZ \
  | 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: bc6a7c6c22b21e434e72b5e7c4a0a6864a8cecc70872ef3e8de784bac8847ab4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f362e7a12f0706c2cb608373ca5f130e592a0e2b9be26e2f0fc525fd5a098688",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-12-13T08:08:52Z",
    "title_canon_sha256": "ffde9214ef1e1487bd8de4c5225bfd6deefab7cdb1232724345000de4c209af5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2652",
    "kind": "arxiv",
    "version": 1
  }
}