Pith Number

pith:ZRCTVUYE

pith:2026:ZRCTVUYE7P3ERMVNXNCDGAKBAV

not attested not anchored not stored refs pending

A geometric approach to the (generalized) Noether theorem for Hamiltonian systems on (non)-uniform q-contact manifolds

Cristina Sard\'on, Manuel de Le\'on, Xuefeng Zhao

arxiv:2608.05681 v1 · 2026-08-06 · 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{ZRCTVUYE7P3ERMVNXNCDGAKBAV}

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	2026-08-07T00:52:20.883178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc453ad304fbf648b2adbb4433014105674202ca5c59a063c4cc10e642388aa9

Aliases

arxiv: 2608.05681 · arxiv_version: 2608.05681v1 · doi: 10.48550/arxiv.2608.05681 · pith_short_12: ZRCTVUYE7P3E · pith_short_16: ZRCTVUYE7P3ERMVN · pith_short_8: ZRCTVUYE

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/ZRCTVUYE7P3ERMVNXNCDGAKBAV \
  | 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: cc453ad304fbf648b2adbb4433014105674202ca5c59a063c4cc10e642388aa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16d494b4cb78508a8ef671d231782a6402fb709042e015b1b6b1333e33f76b20",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2026-08-06T07:16:49Z",
    "title_canon_sha256": "612bccb13403036f6d66f9c420c5902aa69eec2fbc97e303f8f7b113eeac29ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05681",
    "kind": "arxiv",
    "version": 1
  }
}