Pith Number

pith:WHPN5WD7

pith:2015:WHPN5WD7JWRJ4RAODEEYU4UVYA

not attested not anchored not stored refs pending

Critical Curves and Caustics of Triple-lens Models

David Heyrovsky, Kamil Danek

arxiv:1501.06519 v2 · 2015-01-26 · astro-ph.EP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WHPN5WD7JWRJ4RAODEEYU4UVYA}

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	2026-05-18T01:49:31.297134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1deded87f4da29e440e19098a7295c02c5b0524dd0961d8704938c4c35b3b3a

Aliases

arxiv: 1501.06519 · arxiv_version: 1501.06519v2 · doi: 10.48550/arxiv.1501.06519 · pith_short_12: WHPN5WD7JWRJ · pith_short_16: WHPN5WD7JWRJ4RAO · pith_short_8: WHPN5WD7

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/WHPN5WD7JWRJ4RAODEEYU4UVYA \
  | 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: b1deded87f4da29e440e19098a7295c02c5b0524dd0961d8704938c4c35b3b3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1009f269b2d63e93f264604fc84e3a5644218afb1664d8d3b55891ccb5badaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2015-01-26T18:46:47Z",
    "title_canon_sha256": "0752c7ef1cb38df45c2fc987c350b2de134e251373034f40e97ed699819b5d55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06519",
    "kind": "arxiv",
    "version": 2
  }
}