Pith Number

pith:LPKL6UOG

pith:2013:LPKL6UOGM5YHLQ7SHE3JPTZDPA

not attested not anchored not stored refs pending

Liouvillian integrability of polynomial differential systems

Xiang Zhang

arxiv:1311.7255 v1 · 2013-11-28 · 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{LPKL6UOGM5YHLQ7SHE3JPTZDPA}

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	2026-05-18T03:05:56.763771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bd4bf51c6677075c3f2393697cf2378209949d05ce5c00db2783f8663acc8a7

Aliases

arxiv: 1311.7255 · arxiv_version: 1311.7255v1 · doi: 10.48550/arxiv.1311.7255 · pith_short_12: LPKL6UOGM5YH · pith_short_16: LPKL6UOGM5YHLQ7S · pith_short_8: LPKL6UOG

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/LPKL6UOGM5YHLQ7SHE3JPTZDPA \
  | 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: 5bd4bf51c6677075c3f2393697cf2378209949d05ce5c00db2783f8663acc8a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7285bc94bdbe9034e6ad846535dbb3b2a58fa273708cb0e182cc27003e55f64d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-11-28T09:55:28Z",
    "title_canon_sha256": "7d35f8b94ee7ec5b41827ea337a13759428824798468acd0c844c33e169f2d03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7255",
    "kind": "arxiv",
    "version": 1
  }
}