Pith Number

pith:USMLYUIB

pith:2018:USMLYUIB47OPU5IWLVHLT3Q4UD

not attested not anchored not stored refs pending

Strong lensing cross sections for isothermal models - I. Finite source effects in the circular case

Habib S. D\'umet-Montoya, Martin Makler, Vanessa P. de Freitas

arxiv:1809.06869 v1 · 2018-09-18 · 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{USMLYUIB47OPU5IWLVHLT3Q4UD}

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	2026-05-17T23:51:52.533787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a498bc5101e7dcfa75165d4eb9ee1ca0f810a21db4dcc3156ab701f0de89152a

Aliases

arxiv: 1809.06869 · arxiv_version: 1809.06869v1 · doi: 10.48550/arxiv.1809.06869 · pith_short_12: USMLYUIB47OP · pith_short_16: USMLYUIB47OPU5IW · pith_short_8: USMLYUIB

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/USMLYUIB47OPU5IWLVHLT3Q4UD \
  | 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: a498bc5101e7dcfa75165d4eb9ee1ca0f810a21db4dcc3156ab701f0de89152a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94acf185a3979c77193976c97abbd7f2f6d0dd1351c17247bd8ae6b7f1df5df7",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2018-09-18T18:00:06Z",
    "title_canon_sha256": "477d801c89bf14f01cca475e8ef8a30361476af4efe66877a26f04c3ab0889bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06869",
    "kind": "arxiv",
    "version": 1
  }
}