Pith Number

pith:NRTN6Z7Y

pith:2013:NRTN6Z7Y7TYAAEL5K7ITJQ5UUE

not attested not anchored not stored refs pending

Sharp parameter bounds for certain maximal point lenses

J\"org Liesen, Olivier S\`ete, Robert Luce

arxiv:1312.4778 v4 · 2013-12-17 · astro-ph.IM · astro-ph.GA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NRTN6Z7Y7TYAAEL5K7ITJQ5UUE}

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	2026-05-18T02:49:45.743877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c66df67f8fcf000117d57d134c3b4a1092ef89f6fc5e799c5a0befc20d27c14

Aliases

arxiv: 1312.4778 · arxiv_version: 1312.4778v4 · doi: 10.48550/arxiv.1312.4778 · pith_short_12: NRTN6Z7Y7TYA · pith_short_16: NRTN6Z7Y7TYAAEL5 · pith_short_8: NRTN6Z7Y

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/NRTN6Z7Y7TYAAEL5K7ITJQ5UUE \
  | 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: 6c66df67f8fcf000117d57d134c3b4a1092ef89f6fc5e799c5a0befc20d27c14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b3b6fae519e1b55b7028b38d2dbd26946c7572d8395232795b9db65e1f10b9f",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2013-12-17T13:30:47Z",
    "title_canon_sha256": "1be68f6688f02d3897587d10f08754b14ccf53eae1177634dc928893ceecb5c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4778",
    "kind": "arxiv",
    "version": 4
  }
}