Pith Number

pith:7OWJBO2K

pith:2013:7OWJBO2KC2EM5QQ7JEICQX5B5N

not attested not anchored not stored refs pending

Solvability of linear differential systems in the Liouvillian sense

Ilya Vyugin, Renat Gontsov

arxiv:1312.2518 v1 · 2013-12-09 · 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{7OWJBO2KC2EM5QQ7JEICQX5B5N}

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	2026-05-18T03:05:10.107322Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbac90bb4a1688cec21f4910285fa1eb5f1cac0888ad783209fba8c7d792795f

Aliases

arxiv: 1312.2518 · arxiv_version: 1312.2518v1 · doi: 10.48550/arxiv.1312.2518 · pith_short_12: 7OWJBO2KC2EM · pith_short_16: 7OWJBO2KC2EM5QQ7 · pith_short_8: 7OWJBO2K

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/7OWJBO2KC2EM5QQ7JEICQX5B5N \
  | 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: fbac90bb4a1688cec21f4910285fa1eb5f1cac0888ad783209fba8c7d792795f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb0dadd58b143405ec033b0f02bde5d0a2416d71510c3d7a30d617b1a02563d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-12-09T17:15:55Z",
    "title_canon_sha256": "5304c8b3bb02a118292a316a0e332aa2c3bb7b7f2e0c69764ba0c761a52f3f18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2518",
    "kind": "arxiv",
    "version": 1
  }
}