Pith Number

pith:YJ57MB5F

pith:2024:YJ57MB5FZ4RABMUYXGOK7OL2PI

not attested not anchored not stored refs pending

Representation of finite order solutions to linear differential equations with exponential sum coefficients

Jun Wang, Xing-Yu Li, Zhi-Tao Wen

arxiv:2412.15613 v1 · 2024-12-20 · math.CV · 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{YJ57MB5FZ4RABMUYXGOK7OL2PI}

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	2026-07-05T09:52:26.703497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c27bf607a5cf2200b298b99cafb97a7a3cfe46883973110415c266afff60a45a

Aliases

arxiv: 2412.15613 · arxiv_version: 2412.15613v1 · doi: 10.48550/arxiv.2412.15613 · pith_short_12: YJ57MB5FZ4RA · pith_short_16: YJ57MB5FZ4RABMUY · pith_short_8: YJ57MB5F

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/YJ57MB5FZ4RABMUYXGOK7OL2PI \
  | 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: c27bf607a5cf2200b298b99cafb97a7a3cfe46883973110415c266afff60a45a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13d5bf1ed6b2fba7a17e48ee346dec5b656ff6b0f049f1336ba70563c08fc019",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2024-12-20T07:17:04Z",
    "title_canon_sha256": "6979632e1408d9c89f192bb36957df86975b255d8649519173c2649700614d27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.15613",
    "kind": "arxiv",
    "version": 1
  }
}