Pith Number

pith:SP3X6DRG

pith:2021:SP3X6DRGQYRWCAM5ZNUS2CKAGH

not attested not anchored not stored refs pending

Generically, Arnold-Liouville Systems Cannot be Bi-Hamiltonian

Hassan Boualem, Robert Brouzet

arxiv:2105.11123 v2 · 2021-05-24 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SP3X6DRGQYRWCAM5ZNUS2CKAGH}

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	2026-07-05T03:27:02.815753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93f77f0e26862361019dcb692d094031c69179934ed474a770c177fde3ebddc0

Aliases

arxiv: 2105.11123 · arxiv_version: 2105.11123v2 · doi: 10.48550/arxiv.2105.11123 · pith_short_12: SP3X6DRGQYRW · pith_short_16: SP3X6DRGQYRWCAM5 · pith_short_8: SP3X6DRG

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/SP3X6DRGQYRWCAM5ZNUS2CKAGH \
  | 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: 93f77f0e26862361019dcb692d094031c69179934ed474a770c177fde3ebddc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca0daf340c42338dc73801cbf5e9729ea3778e6d5ff8e2985d1632befbb54b53",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-05-24T07:11:56Z",
    "title_canon_sha256": "0a263cf51e3e678745d45b90c30e0781c22172844bad5b3fc97f73261eb31b3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.11123",
    "kind": "arxiv",
    "version": 2
  }
}