Pith Number

pith:FYG4Z2GX

pith:2009:FYG4Z2GXFO67RIS27QCIXHZO5W

not attested not anchored not stored refs pending

Hamiltonian circle actions with minimal fixed sets

Hui Li, Susan Tolman

arxiv:0905.4049 v3 · 2009-05-25 · math.SG · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FYG4Z2GXFO67RIS27QCIXHZO5W}

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	2026-05-18T03:24:42.252784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e0dcce8d72bbdf8a25afc048b9f2eed9c50e3302c3644d39a87c223400a93f7

Aliases

arxiv: 0905.4049 · arxiv_version: 0905.4049v3 · doi: 10.48550/arxiv.0905.4049 · pith_short_12: FYG4Z2GXFO67 · pith_short_16: FYG4Z2GXFO67RIS2 · pith_short_8: FYG4Z2GX

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/FYG4Z2GXFO67RIS27QCIXHZO5W \
  | 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: 2e0dcce8d72bbdf8a25afc048b9f2eed9c50e3302c3644d39a87c223400a93f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44e1dbbcbd1c1c1fd1394e71a1e6f81986bdff2dcff494d26edf31228aae0a4a",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2009-05-25T18:23:57Z",
    "title_canon_sha256": "f22b7919cd4906c28c69adaf63a9e2a26fc5af8b27babc76c92b5444c267d937"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.4049",
    "kind": "arxiv",
    "version": 3
  }
}