Pith Number

pith:NHB7MO53

pith:2019:NHB7MO53Q3AAJMZRZ4UO3A24TD

not attested not anchored not stored refs pending

Multiple periodic solutions for one-sided sublinear systems: A refinement of the Poincar\'{e}-Birkhoff approach

Fabio Zanolin, Tobia Dond\`e

arxiv:1901.09406 v1 · 2019-01-27 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NHB7MO53Q3AAJMZRZ4UO3A24TD}

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	2026-05-17T23:55:24.892464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69c3f63bbb86c004b331cf28ed835c98e087ddf79086f31783c8e494a1c6e8e4

Aliases

arxiv: 1901.09406 · arxiv_version: 1901.09406v1 · doi: 10.48550/arxiv.1901.09406 · pith_short_12: NHB7MO53Q3AA · pith_short_16: NHB7MO53Q3AAJMZR · pith_short_8: NHB7MO53

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/NHB7MO53Q3AAJMZRZ4UO3A24TD \
  | 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: 69c3f63bbb86c004b331cf28ed835c98e087ddf79086f31783c8e494a1c6e8e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cf570de9a07f616160701926a64c400d896177bc7f82705b4b900e1c73f75c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-01-27T17:05:18Z",
    "title_canon_sha256": "df59b1a53e9ca8d2b41e3e88987f8b5069f5d4b15fe31a30bc83e9f236edd6a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09406",
    "kind": "arxiv",
    "version": 1
  }
}