Pith Number

pith:Q2ZNW4E4

pith:2023:Q2ZNW4E4GS2FAUBWBHDOY3OLKF

not attested not anchored not stored refs pending

How to detect lensing rotation

Antony Lewis, Mathew Robertson

arxiv:2303.13313 v4 · 2023-03-23 · 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{Q2ZNW4E4GS2FAUBWBHDOY3OLKF}

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.

Cited by

1 paper in Pith

Detecting rotation from lensing in the CMB

Receipt and verification

First computed	2026-07-05T10:05:38.843827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86b2db709c34b450503609c6ec6dcb516b3e9d809c4333ef697d9d5a06b74160

Aliases

arxiv: 2303.13313 · arxiv_version: 2303.13313v4 · doi: 10.48550/arxiv.2303.13313 · pith_short_12: Q2ZNW4E4GS2F · pith_short_16: Q2ZNW4E4GS2FAUBW · pith_short_8: Q2ZNW4E4

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/Q2ZNW4E4GS2FAUBWBHDOY3OLKF \
  | 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: 86b2db709c34b450503609c6ec6dcb516b3e9d809c4333ef697d9d5a06b74160

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d571c9ac0d39113e54f64e2abf267be11de2c3edad70a74943a0482a4c2fb8d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2023-03-23T14:47:19Z",
    "title_canon_sha256": "dbc3d342ac928533e8b06cd11d310fc80ba86133fe079986b56064382864fbd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.13313",
    "kind": "arxiv",
    "version": 4
  }
}