Pith Number

pith:CCXJFSU3

pith:2022:CCXJFSU3MBEZALVGGHHDH3R5UR

not attested not anchored not stored refs pending

Spectro-spatial evolution of the CMB II: generalised Boltzmann hierarchy

Andrea Ravenni, Jens Chluba, Thomas Kite

arxiv:2210.15308 v1 · 2022-10-27 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCXJFSU3MBEZALVGGHHDH3R5UR}

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	2026-07-05T05:11:04.861823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10ae92ca9b6049902ea631ce33ee3da4702e876b043d8248327b44459405758b

Aliases

arxiv: 2210.15308 · arxiv_version: 2210.15308v1 · doi: 10.48550/arxiv.2210.15308 · pith_short_12: CCXJFSU3MBEZ · pith_short_16: CCXJFSU3MBEZALVG · pith_short_8: CCXJFSU3

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/CCXJFSU3MBEZALVGGHHDH3R5UR \
  | 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: 10ae92ca9b6049902ea631ce33ee3da4702e876b043d8248327b44459405758b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "134d803f3978a297a690d24c714d6d1b6783d14689938be7e9bbc6271252be7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2022-10-27T10:35:32Z",
    "title_canon_sha256": "5358db6ee00f1e6f10b71c4782cc7a16d760bacc7d23fd5e36ef5a8d8b741b4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.15308",
    "kind": "arxiv",
    "version": 1
  }
}