Pith Number

pith:LX2NI5ZH

pith:2003:LX2NI5ZHKYU4ZPE5DBMV3J57KS

not attested not anchored not stored refs pending

Quasar Mesolensing - Direct Probe to Substructures around Galaxies -

2), (2) JSPSFellow, (3) Institute of Theoretical Physics, Atsunori Yonehara (1, Hajime Susa (3) ((1) Center for Computational Physics, Masayuki Umemura (1), Rikkyo University), University of Tsukuba

arxiv:astro-ph/0310296 v1 · 2003-10-10 · 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{LX2NI5ZHKYU4ZPE5DBMV3J57KS}

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	2026-05-18T01:40:38.082393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5df4d477275629ccbc9d18595da7bf54b0ab4fd23a24a335dc2d17e9956ac5e8

Aliases

arxiv: astro-ph/0310296 · arxiv_version: astro-ph/0310296v1 · doi: 10.48550/arxiv.astro-ph/0310296 · pith_short_12: LX2NI5ZHKYU4 · pith_short_16: LX2NI5ZHKYU4ZPE5 · pith_short_8: LX2NI5ZH

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/LX2NI5ZHKYU4ZPE5DBMV3J57KS \
  | 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: 5df4d477275629ccbc9d18595da7bf54b0ab4fd23a24a335dc2d17e9956ac5e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a388392850d8afa36b307c183a2e8f8124dab9a772a93c1d3fea7bfc1ac7e3e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2003-10-10T13:58:06Z",
    "title_canon_sha256": "a1b2c39955766caa97b783426432747ae18787af4b293437a22a7ab2c06bcae8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0310296",
    "kind": "arxiv",
    "version": 1
  }
}