Pith Number

pith:YPF4SLFY

pith:1998:YPF4SLFYOIZ5VBTLQWRG5ZJ7UH

not attested not anchored not stored refs pending

Gravitational Lensing Effect on Cosmic Microwave Background Polarization

Matias Zaldarriaga, Uros Seljak

arxiv:astro-ph/9803150 v1 · 1998-03-13 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPF4SLFYOIZ5VBTLQWRG5ZJ7UH}

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

2 papers in Pith

Observable CMB B-modes from Cosmological Phase Transitions

BROOM: a python package for model-independent analysis of microwave astronomical data

Receipt and verification

First computed	2026-05-18T01:08:08.061431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3cbc92cb87233da866b85a26ee53fa1e0723612d3eefa59586b6613fbf97be5

Aliases

arxiv: astro-ph/9803150 · arxiv_version: astro-ph/9803150v1 · doi: 10.48550/arxiv.astro-ph/9803150 · pith_short_12: YPF4SLFYOIZ5 · pith_short_16: YPF4SLFYOIZ5VBTL · pith_short_8: YPF4SLFY

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/YPF4SLFYOIZ5VBTLQWRG5ZJ7UH \
  | 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: c3cbc92cb87233da866b85a26ee53fa1e0723612d3eefa59586b6613fbf97be5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2fdc5d7cb3539b2d614b9efc417826d0a6db17175bfd50a40b3f8e1a3553e9f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1998-03-13T02:48:14Z",
    "title_canon_sha256": "6ef2e1c8b3d97f588a6a4696d936549055737a3c7b7705cd09694d47c5adf576"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9803150",
    "kind": "arxiv",
    "version": 1
  }
}