Pith Number

pith:YKC2UTVG

pith:2015:YKC2UTVGYRW5LQT42WL5P2QR44

not attested not anchored not stored refs pending

Hamiltonian unknottedness of certain monotone Lagrangian tori in $S^2\times S^2$

Kai Cieliebak, Martin Schwingenheuer

arxiv:1509.05852 v1 · 2015-09-19 · 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{YKC2UTVGYRW5LQT42WL5P2QR44}

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	2026-05-17T23:44:15.773103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c285aa4ea6c46dd5c27cd597d7ea11e70255e96d6c64dd37bbc1f913c4b712b9

Aliases

arxiv: 1509.05852 · arxiv_version: 1509.05852v1 · doi: 10.48550/arxiv.1509.05852 · pith_short_12: YKC2UTVGYRW5 · pith_short_16: YKC2UTVGYRW5LQT4 · pith_short_8: YKC2UTVG

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/YKC2UTVGYRW5LQT42WL5P2QR44 \
  | 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: c285aa4ea6c46dd5c27cd597d7ea11e70255e96d6c64dd37bbc1f913c4b712b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed4c2c09fc1e90e09565cabb3bb25a8f30593bc575f777d700a30e6d62938705",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-09-19T07:23:25Z",
    "title_canon_sha256": "1038fd79e552590585e2992ebf732844806be6d9e657386883293d3fb190650e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05852",
    "kind": "arxiv",
    "version": 1
  }
}