Pith Number

pith:CAUMYA5V

pith:2015:CAUMYA5VMXI7OUHEX47ZWOR3H3

not attested not anchored not stored refs pending

Non-contractible Periodic Orbits in Hamiltonian Dynamics on Closed Symplectic Manifolds

Basak Z. Gurel, Viktor L. Ginzburg

arxiv:1503.07145 v2 · 2015-03-24 · math.SG · 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{CAUMYA5VMXI7OUHEX47ZWOR3H3}

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	2026-05-17T23:53:34.570542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1028cc03b565d1f750e4bf3f9b3a3b3ee904f0d4aab5cff9796c3dbbad80da1a

Aliases

arxiv: 1503.07145 · arxiv_version: 1503.07145v2 · doi: 10.48550/arxiv.1503.07145 · pith_short_12: CAUMYA5VMXI7 · pith_short_16: CAUMYA5VMXI7OUHE · pith_short_8: CAUMYA5V

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/CAUMYA5VMXI7OUHEX47ZWOR3H3 \
  | 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: 1028cc03b565d1f750e4bf3f9b3a3b3ee904f0d4aab5cff9796c3dbbad80da1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94a96da977848037d992060b5dc02c2204a7ee6e21e54f653580f0e7d50bb422",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-03-24T19:25:23Z",
    "title_canon_sha256": "60518103e5151cfed370f044ca253919862b12a60d177f249b7ade563ff79b9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07145",
    "kind": "arxiv",
    "version": 2
  }
}