Pith Number

pith:5F7XPEA5

pith:2014:5F7XPEA5UXSSJGA7IODWPTRDPU

not attested not anchored not stored refs pending

The Effective Cross-sections of a Lensing-galaxy: Singular Isothermal Sphere with External Shear

Dong-Wook Lee, Sang-Joon Kim

arxiv:1408.6611 v1 · 2014-08-28 · astro-ph.GA · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5F7XPEA5UXSSJGA7IODWPTRDPU}

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	2026-05-18T01:42:12.384107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e97f77901da5e524981f438767ce237d31e7b7f9b8f7e926040e382168dfa443

Aliases

arxiv: 1408.6611 · arxiv_version: 1408.6611v1 · doi: 10.48550/arxiv.1408.6611 · pith_short_12: 5F7XPEA5UXSS · pith_short_16: 5F7XPEA5UXSSJGA7 · pith_short_8: 5F7XPEA5

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/5F7XPEA5UXSSJGA7IODWPTRDPU \
  | 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: e97f77901da5e524981f438767ce237d31e7b7f9b8f7e926040e382168dfa443

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "561a4724fbcf8ebec3de9ddf6560a676d1a5bdc1f196cc0a658abcd0c13f5c7d",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2014-08-28T03:04:19Z",
    "title_canon_sha256": "636665bec10abe8e3e7fd31f1ed6bfa1a53885ffd014e5d1b7b8ff01dda33479"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6611",
    "kind": "arxiv",
    "version": 1
  }
}