Pith Number

pith:XVFK5ORS

pith:2023:XVFK5ORSPUO3GWCO7RG5P4LISJ

not attested not anchored not stored refs pending

Franks' dichotomy for toric manifolds, Hofer-Zehnder conjecture, and gauged linear sigma model

Guangbo Xu, Shaoyun Bai

arxiv:2309.07991 v2 · 2023-09-14 · math.SG · math.DS

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XVFK5ORSPUO3GWCO7RG5P4LISJ}

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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.

Cited by

1 paper in Pith

On the Hofer-Zehnder conjecture for semipositive symplectic manifolds

Receipt and verification

First computed	2026-07-05T07:32:23.366351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd4aaeba327d1db3584efc4dd7f168927385709d9dc8c481abefa8bca6133631

Aliases

arxiv: 2309.07991 · arxiv_version: 2309.07991v2 · doi: 10.48550/arxiv.2309.07991 · pith_short_12: XVFK5ORSPUO3 · pith_short_16: XVFK5ORSPUO3GWCO · pith_short_8: XVFK5ORS

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/XVFK5ORSPUO3GWCO7RG5P4LISJ \
  | 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: bd4aaeba327d1db3584efc4dd7f168927385709d9dc8c481abefa8bca6133631

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cf0269def9d8e1fc483ae7ceb04523e3d750540448c504fcfa23b35f3921b00",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2023-09-14T19:07:46Z",
    "title_canon_sha256": "a4334a6dae2babfee896246b59e354d283bd1783717e02c32c7e1d40fe83b89c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.07991",
    "kind": "arxiv",
    "version": 2
  }
}