Pith Number

pith:EGYTNHZQ

pith:2017:EGYTNHZQQE6QAMP7K7VU2GHVSF

not attested not anchored not stored refs pending

Limit cycles of planar system defined by the sum of two quasi-homogeneous vecter fields

Haihua Liang, Jianfeng Huang

arxiv:1708.07959 v2 · 2017-08-26 · 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{EGYTNHZQQE6QAMP7K7VU2GHVSF}

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	2026-05-18T00:36:27.678667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21b1369f30813d0031ff57eb4d18f5915776c7077c5a7012e46d2ae73915a57f

Aliases

arxiv: 1708.07959 · arxiv_version: 1708.07959v2 · doi: 10.48550/arxiv.1708.07959 · pith_short_12: EGYTNHZQQE6Q · pith_short_16: EGYTNHZQQE6QAMP7 · pith_short_8: EGYTNHZQ

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/EGYTNHZQQE6QAMP7K7VU2GHVSF \
  | 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: 21b1369f30813d0031ff57eb4d18f5915776c7077c5a7012e46d2ae73915a57f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da70c37b2645df07b6c27cf6ef811e1d15e11a65fd84cbd582141d31e0991861",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-08-26T11:46:06Z",
    "title_canon_sha256": "64a13d8ebbd3473d62b8d1fe8c1a5892b61eaa19b07d8f0fc95565b6c779ecaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07959",
    "kind": "arxiv",
    "version": 2
  }
}