Pith Number

pith:3X5BVYES

pith:2009:3X5BVYESMDWKOR4IS7RNMR6SRH

not attested not anchored not stored refs pending

Shortening the Hofer length of Hamiltonian circle actions

Jennifer Slimowitz, Yael Karshon

arxiv:0912.0904 v2 · 2009-12-04 · 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{3X5BVYESMDWKOR4IS7RNMR6SRH}

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	2026-05-18T03:05:19.241171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddfa1ae09260eca7478897e2d647d289e3316c39a9472711f721d2ec7fe5e1bc

Aliases

arxiv: 0912.0904 · arxiv_version: 0912.0904v2 · doi: 10.48550/arxiv.0912.0904 · pith_short_12: 3X5BVYESMDWK · pith_short_16: 3X5BVYESMDWKOR4I · pith_short_8: 3X5BVYES

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/3X5BVYESMDWKOR4IS7RNMR6SRH \
  | 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: ddfa1ae09260eca7478897e2d647d289e3316c39a9472711f721d2ec7fe5e1bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70d822fa95bc27dc90637e2b054dcbcd50daa8ae682a8d14b97322aaae1a5e87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2009-12-04T20:23:50Z",
    "title_canon_sha256": "8c900e633819eeba05e7e237806647eb92e46ed0d568f36f880f82b89b9e1726"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0904",
    "kind": "arxiv",
    "version": 2
  }
}