Pith Number

pith:DI23BOCO

pith:2003:DI23BOCOQORV43WMJ75J4GG5ET

not attested not anchored not stored refs pending

Wave effect in gravitational lensing by a cosmic string

Kazuhiro Yamamoto, Keiji Tsunoda

arxiv:astro-ph/0309694 v1 · 2003-09-25 · 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{DI23BOCOQORV43WMJ75J4GG5ET}

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	2026-07-04T16:51:45.495377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a35b0b84e83a35e6ecc4ffa9e18dd24f56327cac62b9a844581290b2b38a7a9

Aliases

arxiv: astro-ph/0309694 · arxiv_version: astro-ph/0309694v1 · doi: 10.48550/arxiv.astro-ph/0309694 · pith_short_12: DI23BOCOQORV · pith_short_16: DI23BOCOQORV43WM · pith_short_8: DI23BOCO

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/DI23BOCOQORV43WMJ75J4GG5ET \
  | 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: 1a35b0b84e83a35e6ecc4ffa9e18dd24f56327cac62b9a844581290b2b38a7a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0892054051c59df44cdc097c97ba28f4dee42061828e09d99a8f8a22a94c2061",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2003-09-25T10:17:13Z",
    "title_canon_sha256": "e95592b23990cbf8479c0ce4f11f20f5537c9d43429c01faf90df0273eb83abb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0309694",
    "kind": "arxiv",
    "version": 1
  }
}