Pith Number

pith:GNFXHX46

pith:1993:GNFXHX46RWROOPUBBNLTB6UXBU

not attested not anchored not stored refs pending

Poisson structures on the cotangent bundle of a Lie group or a principal bundle and their reductions

Dmitri V. Alekseevsky, Giuseppe Marmo, Janusz Grabowski, Peter W. Michor

arxiv:math/9312213 v1 · 1993-12-01 · math.SG · 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{GNFXHX46RWROOPUBBNLTB6UXBU}

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	2026-05-18T01:05:51.741689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

334b73df9e8da2e73e810b5730fa970d3b00653447003f7e657883ba0967e9bb

Aliases

arxiv: math/9312213 · arxiv_version: math/9312213v1 · doi: 10.48550/arxiv.math/9312213 · pith_short_12: GNFXHX46RWRO · pith_short_16: GNFXHX46RWROOPUB · pith_short_8: GNFXHX46

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/GNFXHX46RWROOPUBBNLTB6UXBU \
  | 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: 334b73df9e8da2e73e810b5730fa970d3b00653447003f7e657883ba0967e9bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff730f2280184ac2b9f8fd4080dcfb1776928617c46f09853b2303f74087420f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "1993-12-01T00:00:00Z",
    "title_canon_sha256": "4bacfe1c855d91ee6f61e48a4032c19ee07e40f2088053e39968a29e0e62d76b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9312213",
    "kind": "arxiv",
    "version": 1
  }
}