Pith Number

pith:XWJMS3VU

pith:2016:XWJMS3VUQDE2G6LHGQBYLBWEEY

not attested not anchored not stored refs pending

The multiplicity problem for periodic orbits of magnetic flows on the 2-sphere

Alberto Abbondandolo, Gabriele Benedetti, Iskander A. Taimanov, Luca Asselle, Marco Mazzucchelli

arxiv:1608.03144 v1 · 2016-08-10 · 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{XWJMS3VUQDE2G6LHGQBYLBWEEY}

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	2026-05-18T00:51:33.994737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd92c96eb480c9a3796734038586c4262d29257bf9e6b68f2f870ffe87913699

Aliases

arxiv: 1608.03144 · arxiv_version: 1608.03144v1 · doi: 10.48550/arxiv.1608.03144 · pith_short_12: XWJMS3VUQDE2 · pith_short_16: XWJMS3VUQDE2G6LH · pith_short_8: XWJMS3VU

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/XWJMS3VUQDE2G6LHGQBYLBWEEY \
  | 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: bd92c96eb480c9a3796734038586c4262d29257bf9e6b68f2f870ffe87913699

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0bcf04fb2f920a28b64a835d6eb180b9628b844f85fdf6fc787f9f662051079",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-08-10T12:01:02Z",
    "title_canon_sha256": "a6879a1ab1c72eb0ccdd1f377e7caa33c33599e972a869df2e8743e5c78ac325"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03144",
    "kind": "arxiv",
    "version": 1
  }
}