Pith Number

pith:QXVQ2QHV

pith:2016:QXVQ2QHVLFSATHLDZFIPOYW5NK

not attested not anchored not stored refs pending

A K-theoretical Invariant and Bifurcation for Homoclinics of Hamiltonian Systems

Alessandro Portaluri, Nils Waterstraat

arxiv:1605.08402 v1 · 2016-05-26 · math.FA · math.AP · 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{QXVQ2QHVLFSATHLDZFIPOYW5NK}

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	2026-05-18T01:13:31.590906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85eb0d40f55964099d63c950f762dd6ab05d8df067fac90622e8cb391ad9b2c5

Aliases

arxiv: 1605.08402 · arxiv_version: 1605.08402v1 · doi: 10.48550/arxiv.1605.08402 · pith_short_12: QXVQ2QHVLFSA · pith_short_16: QXVQ2QHVLFSATHLD · pith_short_8: QXVQ2QHV

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/QXVQ2QHVLFSATHLDZFIPOYW5NK \
  | 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: 85eb0d40f55964099d63c950f762dd6ab05d8df067fac90622e8cb391ad9b2c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "186edfd5f8d9f99868ffa8b83ede869249b8742744202afab957c2f302589d39",
    "cross_cats_sorted": [
      "math.AP",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-05-26T18:43:17Z",
    "title_canon_sha256": "9c1007fefb57c6baff07d31ef931652f440c997b8086a0757688535543ffa6ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08402",
    "kind": "arxiv",
    "version": 1
  }
}