Pith Number

pith:73HDSP27

pith:2015:73HDSP2776YE5R5BDSTO7B3BI2

not attested not anchored not stored refs pending

On the existence of periodic orbits for magnetic systems on the two-sphere

Gabriele Benedetti, Kai Zehmisch

arxiv:1503.09035 v2 · 2015-03-31 · 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{73HDSP2776YE5R5BDSTO7B3BI2}

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	2026-05-18T01:49:55.599840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fece393f5fffb04ec7a11ca6ef8761468bcdc9894a8bc493cec5db23b300243d

Aliases

arxiv: 1503.09035 · arxiv_version: 1503.09035v2 · doi: 10.48550/arxiv.1503.09035 · pith_short_12: 73HDSP2776YE · pith_short_16: 73HDSP2776YE5R5B · pith_short_8: 73HDSP27

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/73HDSP2776YE5R5BDSTO7B3BI2 \
  | 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: fece393f5fffb04ec7a11ca6ef8761468bcdc9894a8bc493cec5db23b300243d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3fe3a7f5449428a4961715a53bd908cd3e98cbfe9fa1801f7df03d993e9194c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-03-31T13:19:18Z",
    "title_canon_sha256": "92b1953ed6c9d812476f481c44cab900288fdb400e594298e175af8fe3bf039b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.09035",
    "kind": "arxiv",
    "version": 2
  }
}