Pith Number

pith:IAGFJSIJ

pith:2023:IAGFJSIJY6HWUMQXDRXRQMTZP7

not attested not anchored not stored refs pending

Gravitational lensing effect on cosmic birefringence

Fumihiro Naokawa, Toshiya Namikawa

arxiv:2305.13976 v1 · 2023-05-23 · astro-ph.CO · hep-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{IAGFJSIJY6HWUMQXDRXRQMTZP7}

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	2026-07-05T06:12:59.618452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

400c54c909c78f6a32171c6f1832797fefcc61eb76ffe31549a6703e6a4ed025

Aliases

arxiv: 2305.13976 · arxiv_version: 2305.13976v1 · doi: 10.48550/arxiv.2305.13976 · pith_short_12: IAGFJSIJY6HW · pith_short_16: IAGFJSIJY6HWUMQX · pith_short_8: IAGFJSIJ

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/IAGFJSIJY6HWUMQXDRXRQMTZP7 \
  | 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: 400c54c909c78f6a32171c6f1832797fefcc61eb76ffe31549a6703e6a4ed025

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eb98fc332c2215293607fd6fc5eeb9c4adb3971b21e4e4df335df0eab952b2c",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2023-05-23T11:58:12Z",
    "title_canon_sha256": "c86b426145e0190b8b9a31b038d9cd5b497e51b7eb70f434bd3486042048f25f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.13976",
    "kind": "arxiv",
    "version": 1
  }
}