Pith Number

pith:K2S7UMLM

pith:2012:K2S7UMLMJM5LMWAGBCPZ44ZIIQ

not attested not anchored not stored refs pending

Semi-global symplectic invariants of the Euler top

George Papadopoulos, Holger R. Dullin

arxiv:1210.6522 v2 · 2012-10-24 · math.SG · 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{K2S7UMLMJM5LMWAGBCPZ44ZIIQ}

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	2026-05-18T02:56:21.422794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56a5fa316c4b3ab65806089f9e7328440cdbe731ff572e8b767cca5788b560f5

Aliases

arxiv: 1210.6522 · arxiv_version: 1210.6522v2 · doi: 10.48550/arxiv.1210.6522 · pith_short_12: K2S7UMLMJM5L · pith_short_16: K2S7UMLMJM5LMWAG · pith_short_8: K2S7UMLM

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/K2S7UMLMJM5LMWAGBCPZ44ZIIQ \
  | 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: 56a5fa316c4b3ab65806089f9e7328440cdbe731ff572e8b767cca5788b560f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c3258083d39999fe20404d87337fb72ac5f33da4c6e8d24cbf9dce36a838ae9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-10-24T13:28:54Z",
    "title_canon_sha256": "3ea3a39ad3abba0c7d9a2ed2098c963ee8bfc61f6521354bf03e7bc5f09b0ed1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6522",
    "kind": "arxiv",
    "version": 2
  }
}