Pith Number

pith:4XHIQKWM

pith:2022:4XHIQKWMVFPZX45LSRO3UFUXXD

not attested not anchored not stored refs pending

Unimodularity and invariant volume forms for Hamiltonian dynamics on Poisson-Lie groups

D. Iglesias Ponte, E. Padr\'on, I. Gutierrez-Sagredo, J. C. Marrero, Z. Ravanpak

arxiv:2207.05511 v2 · 2022-07-12 · math.DG · math-ph · math.DS · 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{4XHIQKWMVFPZX45LSRO3UFUXXD}

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	2026-07-05T05:31:51.599133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5ce882acca95f9bf3ab945dba1697b8e466c8bd21749a6f087c138e327a40a9

Aliases

arxiv: 2207.05511 · arxiv_version: 2207.05511v2 · doi: 10.48550/arxiv.2207.05511 · pith_short_12: 4XHIQKWMVFPZ · pith_short_16: 4XHIQKWMVFPZX45L · pith_short_8: 4XHIQKWM

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/4XHIQKWMVFPZX45LSRO3UFUXXD \
  | 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: e5ce882acca95f9bf3ab945dba1697b8e466c8bd21749a6f087c138e327a40a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0701bd862a6d625fb5e9d1a993aeb1284d61eddd7d464d7e640c31eb0429ad50",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2022-07-12T13:08:47Z",
    "title_canon_sha256": "792e692eca5666a5ee0ba4857cb3ba8c3901ab7022575656129d677a4d707a6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.05511",
    "kind": "arxiv",
    "version": 2
  }
}