Pith Number

pith:LVT7XITZ

pith:2013:LVT7XITZSLCMW4MKHK7ZL7R46Z

not attested not anchored not stored refs pending

Shilnikov Lemma for a nondegenerate critical manifold of a Hamiltonian system

Piero Negrini, Sergey Bolotin

arxiv:1308.4604 v1 · 2013-08-21 · 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{LVT7XITZSLCMW4MKHK7ZL7R46Z}

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	2026-05-18T01:48:07.136414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d67fba27992c4cb718a3abf95fe3cf64340cef88b0bdff8666020a76641cfbc

Aliases

arxiv: 1308.4604 · arxiv_version: 1308.4604v1 · doi: 10.48550/arxiv.1308.4604 · pith_short_12: LVT7XITZSLCM · pith_short_16: LVT7XITZSLCMW4MK · pith_short_8: LVT7XITZ

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/LVT7XITZSLCMW4MKHK7ZL7R46Z \
  | 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: 5d67fba27992c4cb718a3abf95fe3cf64340cef88b0bdff8666020a76641cfbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c2e61354fe043bc1dd41ff7c812c26c754212ab0651ddebed2cfb83cb5c520d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-08-21T14:53:10Z",
    "title_canon_sha256": "544aa2ebb3cd8f2b924f08b9dd2b9dc9074590275cfb27b3477c4e3ac0655178"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4604",
    "kind": "arxiv",
    "version": 1
  }
}