Pith Number

pith:VH32F5Z2

pith:2025:VH32F5Z26D4FUMLIYFTKMK64K2

not attested not anchored not stored refs pending

Euler Poincare Dynamics and Control on Lie Groupoids

Ghorbanali Haghighatdoost

arxiv:2509.20044 v2 · 2025-09-24 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VH32F5Z26D4FUMLIYFTKMK64K2}

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	2026-05-26T01:02:27.828254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9f7a2f73af0f85a3168c166a62bdc56b34d43ed7f95c71014660d9351f87e48

Aliases

arxiv: 2509.20044 · arxiv_version: 2509.20044v2 · doi: 10.48550/arxiv.2509.20044 · pith_short_12: VH32F5Z26D4F · pith_short_16: VH32F5Z26D4FUMLI · pith_short_8: VH32F5Z2

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/VH32F5Z26D4FUMLIYFTKMK64K2 \
  | 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: a9f7a2f73af0f85a3168c166a62bdc56b34d43ed7f95c71014660d9351f87e48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8e5ef9c76877fafce39ab0d2139b097410a3710a4a893cfcb4781cbb107a6be",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-09-24T12:13:04Z",
    "title_canon_sha256": "bd7969f90d1b5547fe5a66cd53d3ae09b145dbd03f7ef32bb4a6e2804180982c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.20044",
    "kind": "arxiv",
    "version": 2
  }
}