Pith Number

pith:GQHBEBZN

pith:2009:GQHBEBZNSMXCFQGB4PQRCSJ5E7

not attested not anchored not stored refs pending

On the number of limit cycles which appear by perturbation of Hamiltonian two-saddle cycles of planar vector fields

Lubomir Gavrilov

arxiv:0906.4363 v2 · 2009-06-23 · 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{GQHBEBZNSMXCFQGB4PQRCSJ5E7}

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	2026-05-18T04:25:37.969007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

340e12072d932e22c0c1e3e111493d27fe0e56e75ca09860d5bb85b031567999

Aliases

arxiv: 0906.4363 · arxiv_version: 0906.4363v2 · doi: 10.48550/arxiv.0906.4363 · pith_short_12: GQHBEBZNSMXC · pith_short_16: GQHBEBZNSMXCFQGB · pith_short_8: GQHBEBZN

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/GQHBEBZNSMXCFQGB4PQRCSJ5E7 \
  | 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: 340e12072d932e22c0c1e3e111493d27fe0e56e75ca09860d5bb85b031567999

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac43a1c5b56acd8235cc2917f1438e9144af762a1a4e90a82ca94e0407e6f4e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-06-23T21:35:42Z",
    "title_canon_sha256": "23cf5a773c5b8d905e456c47c753e5ae791f9ba07de6dab753734ef971272a18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4363",
    "kind": "arxiv",
    "version": 2
  }
}