Pith Number

pith:72OY7PJC

pith:2010:72OY7PJCPEODVMQ3DWXGOQKHO7

not attested not anchored not stored refs pending

Existence of Doubly-Weighted Pseudo Almost Periodic Solutions to Some Classes of Nonautonomous Differential Equations

Toka Diagana

arxiv:1012.3221 v1 · 2010-12-15 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72OY7PJCPEODVMQ3DWXGOQKHO7}

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	2026-05-18T04:33:17.509808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe9d8fbd22791c3ab21b1dae67414777d144db21ed3523e59e05b04e03a03352

Aliases

arxiv: 1012.3221 · arxiv_version: 1012.3221v1 · doi: 10.48550/arxiv.1012.3221 · pith_short_12: 72OY7PJCPEOD · pith_short_16: 72OY7PJCPEODVMQ3 · pith_short_8: 72OY7PJC

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/72OY7PJCPEODVMQ3DWXGOQKHO7 \
  | 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: fe9d8fbd22791c3ab21b1dae67414777d144db21ed3523e59e05b04e03a03352

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5626f6dc5c06fe2664e66cef2cb11b9e2a05aa75eab1cc961ccf2d0a0a45ed5f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-15T03:34:50Z",
    "title_canon_sha256": "72f3f30ee01807f68c9359aef2566c5cf58aca0cd4ae4c3893c56ef4c5882416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3221",
    "kind": "arxiv",
    "version": 1
  }
}