Pith Number

pith:TQZHD5M2

pith:2019:TQZHD5M2ERRDHM4R6CYJJCCEPA

not attested not anchored not stored refs pending

New structurally unstable families of planar vector fields

Nataliya Goncharuk, Nikita Solodovnikov, Yury G. Kudryashov

arxiv:1908.02693 v1 · 2019-08-07 · 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{TQZHD5M2ERRDHM4R6CYJJCCEPA}

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	2026-07-04T23:52:11.411114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c3271f59a246233b391f0b09488447824e1012719c07ddf7efdaf3c16677a83

Aliases

arxiv: 1908.02693 · arxiv_version: 1908.02693v1 · doi: 10.48550/arxiv.1908.02693 · pith_short_12: TQZHD5M2ERRD · pith_short_16: TQZHD5M2ERRDHM4R · pith_short_8: TQZHD5M2

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/TQZHD5M2ERRDHM4R6CYJJCCEPA \
  | 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: 9c3271f59a246233b391f0b09488447824e1012719c07ddf7efdaf3c16677a83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78fe556e71e443e1c7c75ddb877d87cb4211b933ce3920197f9d51152e5b7714",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-08-07T15:57:35Z",
    "title_canon_sha256": "6e17953ae3169fdadf6c24872840e3d602d8657e1e3682f87471d8c6dadd658f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02693",
    "kind": "arxiv",
    "version": 1
  }
}