Pith Number

pith:IQ3PAZKE

pith:2026:IQ3PAZKELXRYFG2UGEWNTMSPU3

not attested not anchored not stored refs pending

Update on the Physics of the Cosmic Microwave Background (2015-2025)

Martin Bucher (Laboratoire Astroparticules et Cosmologie (APC), Universit\'e Paris Cit\'e/CNRS)

arxiv:2607.15666 v1 · 2026-07-17 · 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{IQ3PAZKELXRYFG2UGEWNTMSPU3}

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	2026-07-20T01:19:03.124610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4436f065445de3829b54312cd9b24fa6ffa60cc0312acb5f78325e361915fbf4

Aliases

arxiv: 2607.15666 · arxiv_version: 2607.15666v1 · doi: 10.48550/arxiv.2607.15666 · pith_short_12: IQ3PAZKELXRY · pith_short_16: IQ3PAZKELXRYFG2U · pith_short_8: IQ3PAZKE

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/IQ3PAZKELXRYFG2UGEWNTMSPU3 \
  | 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: 4436f065445de3829b54312cd9b24fa6ffa60cc0312acb5f78325e361915fbf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69f62fe34d061f84d1c52fe25fcc1e8e70bd6d7e41e2c6d9c3bd81c13e62daa1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-17T06:21:39Z",
    "title_canon_sha256": "48b56090a654d57ac2d5adbee3fae39869d3f06204803a4fe1c8fed87675059f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15666",
    "kind": "arxiv",
    "version": 1
  }
}