Pith Number

pith:KDYTQ54I

pith:2011:KDYTQ54IQWDGQU2XCLCU5W5BPX

not attested not anchored not stored refs pending

Lambda-symmetries of Dynamical Systems, Hamiltonian and Lagrangian equations

Giampaolo Cicogna

arxiv:1102.3269 v1 · 2011-02-16 · 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{KDYTQ54IQWDGQU2XCLCU5W5BPX}

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	2026-05-18T04:28:36.722147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50f1387788858668535712c54edba17dcead70b918ced0d606fc66fac35c05b2

Aliases

arxiv: 1102.3269 · arxiv_version: 1102.3269v1 · doi: 10.48550/arxiv.1102.3269 · pith_short_12: KDYTQ54IQWDG · pith_short_16: KDYTQ54IQWDGQU2X · pith_short_8: KDYTQ54I

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/KDYTQ54IQWDGQU2XCLCU5W5BPX \
  | 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: 50f1387788858668535712c54edba17dcead70b918ced0d606fc66fac35c05b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25dd6c28edefdeae0b81c87dbba67e992d7d2c7ace7184a7ddaed9b4fceb9b4c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-16T09:09:56Z",
    "title_canon_sha256": "2d15703ba67cbeff9aa41a001b97677f2c40240b6ea07a1d1db2e2c5af272ae1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3269",
    "kind": "arxiv",
    "version": 1
  }
}