Pith Number

pith:YUG5DDKY

pith:2015:YUG5DDKYVMEFEOSZFW37WYHMP7

not attested not anchored not stored refs pending

Geometric Aspects of Ambrosetti-Prodi operators with Lipschitz nonlinearities

Andr\'e Zaccur, Carlos Tomei

arxiv:1506.05087 v1 · 2015-06-16 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YUG5DDKYVMEFEOSZFW37WYHMP7}

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	2026-05-18T01:48:05.050797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c50dd18d58ab08523a592db7fb60ec7ffbfe48bd7c838a8348d5ce2805a0aa30

Aliases

arxiv: 1506.05087 · arxiv_version: 1506.05087v1 · doi: 10.48550/arxiv.1506.05087 · pith_short_12: YUG5DDKYVMEF · pith_short_16: YUG5DDKYVMEFEOSZ · pith_short_8: YUG5DDKY

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/YUG5DDKYVMEFEOSZFW37WYHMP7 \
  | 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: c50dd18d58ab08523a592db7fb60ec7ffbfe48bd7c838a8348d5ce2805a0aa30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec51692669789044915e2a8328195af1a2045fc625cf2520bd5962fa2955a211",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-16T19:26:09Z",
    "title_canon_sha256": "326ec9a18c2394bf11abb081e6db78f098d95153c40ac2a35ee3a972addf611e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05087",
    "kind": "arxiv",
    "version": 1
  }
}