Pith Number

pith:UV2AUZII

pith:2017:UV2AUZIIUXTPHVREKFDW3SE5UI

not attested not anchored not stored refs pending

On the multiplicity of periodic orbits and homoclinics near critical energy levels of Hamiltonian systems in $\mathbb{R}^4$

Naiara V. de Paulo, Pedro A. S. Salom\~ao

arxiv:1712.04720 v1 · 2017-12-13 · math.DS · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UV2AUZIIUXTPHVREKFDW3SE5UI}

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	2026-05-18T00:28:03.607525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5740a6508a5e6f3d62451476dc89da212c7a0daf4d52e635add3fa1cdd9b57b

Aliases

arxiv: 1712.04720 · arxiv_version: 1712.04720v1 · doi: 10.48550/arxiv.1712.04720 · pith_short_12: UV2AUZIIUXTP · pith_short_16: UV2AUZIIUXTPHVRE · pith_short_8: UV2AUZII

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/UV2AUZIIUXTPHVREKFDW3SE5UI \
  | 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: a5740a6508a5e6f3d62451476dc89da212c7a0daf4d52e635add3fa1cdd9b57b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5e253d3d3e97afe3b08059b74c89f246f0260d30e15e7012a6c686407641a5a",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-12-13T11:49:27Z",
    "title_canon_sha256": "ceb248b4a9e58a9697942905a51a9830ff39638db6916a9ecb1e7433323db478"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04720",
    "kind": "arxiv",
    "version": 1
  }
}