Pith Number

pith:XKEOY3EU

pith:2003:XKEOY3EUI65ZUPKWKZRBRPPC5P

not attested not anchored not stored refs pending

Gravitational lensing as a contaminant of the gravity wave signal in CMB

Christopher M. Hirata (Princeton University), Uros Seljak

arxiv:astro-ph/0310163 v1 · 2003-10-06 · 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{XKEOY3EUI65ZUPKWKZRBRPPC5P}

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

Observable CMB B-modes from Cosmological Phase Transitions

Receipt and verification

First computed	2026-07-04T15:23:00.324460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba88ec6c9447bb9a3d56566218bde2ebe8666839f90853d2908c7c10b4e77214

Aliases

arxiv: astro-ph/0310163 · arxiv_version: astro-ph/0310163v1 · doi: 10.48550/arxiv.astro-ph/0310163 · pith_short_12: XKEOY3EUI65Z · pith_short_16: XKEOY3EUI65ZUPKW · pith_short_8: XKEOY3EU

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/XKEOY3EUI65ZUPKWKZRBRPPC5P \
  | 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: ba88ec6c9447bb9a3d56566218bde2ebe8666839f90853d2908c7c10b4e77214

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d37a87225955332ffc142205467a667986cda1737ad2027a0c1eaab967b38571",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2003-10-06T21:32:48Z",
    "title_canon_sha256": "95852f7395e13240d8ba2f3547402a80c24d040e95894c7aef9fb289618fc1d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0310163",
    "kind": "arxiv",
    "version": 1
  }
}