Pith Number

pith:4MM4FMIN

pith:2015:4MM4FMINRXOE6E2TZHJACKXV33

not attested not anchored not stored refs pending

Pairs of positive periodic solutions of nonlinear ODEs with indefinite weight: a topological degree approach for the super-sublinear case

Alberto Boscaggin, Fabio Zanolin, Guglielmo Feltrin

arxiv:1503.05310 v1 · 2015-03-18 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MM4FMINRXOE6E2TZHJACKXV33}

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	2026-05-18T02:21:50.792979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e319c2b10d8ddc4f1353c9d2012af5deda755f0fc3a0e99c9ef4e072bdf9bd2c

Aliases

arxiv: 1503.05310 · arxiv_version: 1503.05310v1 · doi: 10.48550/arxiv.1503.05310 · pith_short_12: 4MM4FMINRXOE · pith_short_16: 4MM4FMINRXOE6E2T · pith_short_8: 4MM4FMIN

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/4MM4FMINRXOE6E2TZHJACKXV33 \
  | 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: e319c2b10d8ddc4f1353c9d2012af5deda755f0fc3a0e99c9ef4e072bdf9bd2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2ecfe30a1ead79ffffb0598058c7fbaebfb7965955761dc03300e907717b329",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-03-18T09:00:08Z",
    "title_canon_sha256": "7773c6fb5257b353ecca8fe15874edca2e422cd11557620d43446476d36c2b40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05310",
    "kind": "arxiv",
    "version": 1
  }
}