Pith Number

pith:3QV5RXLM

pith:2014:3QV5RXLMPRTQL4HPCGQN3C4GAD

not attested not anchored not stored refs pending

Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level

Alberto Abbondandolo, Gabriel P. Paternain, Leonardo Macarini, Marco Mazzucchelli

arxiv:1404.7641 v3 · 2014-04-30 · 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{3QV5RXLMPRTQL4HPCGQN3C4GAD}

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	2026-05-18T00:52:02.390106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc2bd8dd6c7c6705f0ef11a0dd8b8600c513dbad9f8fc4a2c56b5a2a7fc82918

Aliases

arxiv: 1404.7641 · arxiv_version: 1404.7641v3 · doi: 10.48550/arxiv.1404.7641 · pith_short_12: 3QV5RXLMPRTQ · pith_short_16: 3QV5RXLMPRTQL4HP · pith_short_8: 3QV5RXLM

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/3QV5RXLMPRTQL4HPCGQN3C4GAD \
  | 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: dc2bd8dd6c7c6705f0ef11a0dd8b8600c513dbad9f8fc4a2c56b5a2a7fc82918

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58ed30bc2438729f42b11be957d245a925fb3b82d6088177e9c2d89defe0de86",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-04-30T09:11:06Z",
    "title_canon_sha256": "8c13ef6191e21eb1b11468aeab05e897bc9f7a0a9ff8f5effd050f9c56dd4a20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7641",
    "kind": "arxiv",
    "version": 3
  }
}