Pith Number

pith:PN3F27Q4

pith:2011:PN3F27Q4Y7DXU4MNQTISKBWTWV

not attested not anchored not stored refs pending

An infinite family of superintegrable Hamiltonians with reflection in the plane

Alexei Zhedanov, Luc Vinet, Sarah Post

arxiv:1108.5208 v1 · 2011-08-25 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PN3F27Q4Y7DXU4MNQTISKBWTWV}

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	2026-05-18T02:00:47.856293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b765d7e1cc7c77a718d84d12506d3b5552d9465998bfa8f41830059a01dfbbf

Aliases

arxiv: 1108.5208 · arxiv_version: 1108.5208v1 · doi: 10.48550/arxiv.1108.5208 · pith_short_12: PN3F27Q4Y7DX · pith_short_16: PN3F27Q4Y7DXU4MN · pith_short_8: PN3F27Q4

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/PN3F27Q4Y7DXU4MNQTISKBWTWV \
  | 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: 7b765d7e1cc7c77a718d84d12506d3b5552d9465998bfa8f41830059a01dfbbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cf580cd9133e66c35c3cea77f72d3941349e522ffd4ac21cf4d8cdc4a892ef6",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-08-25T22:03:06Z",
    "title_canon_sha256": "333e4dc4a98efc0e9326826cb821d1459ba8918ac79d94d2e58c6246c366230b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5208",
    "kind": "arxiv",
    "version": 1
  }
}