Pith Number

pith:76OI2PID

pith:2012:76OI2PIDA3RN7YYROJ5SAG5WPW

not attested not anchored not stored refs pending

Lie--Hamilton systems: theory and applications

C. Sard\'on, J. de Lucas, J.F. Cari\~nena

arxiv:1211.6991 v1 · 2012-11-29 · math-ph · math.CA · math.DG · 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{76OI2PIDA3RN7YYROJ5SAG5WPW}

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	2026-05-18T00:36:15.515988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff9c8d3d0306e2dfe311727b201bb67d87c49b5a19787102d651cf704c8e26b4

Aliases

arxiv: 1211.6991 · arxiv_version: 1211.6991v1 · doi: 10.48550/arxiv.1211.6991 · pith_short_12: 76OI2PIDA3RN · pith_short_16: 76OI2PIDA3RN7YYR · pith_short_8: 76OI2PID

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/76OI2PIDA3RN7YYROJ5SAG5WPW \
  | 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: ff9c8d3d0306e2dfe311727b201bb67d87c49b5a19787102d651cf704c8e26b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec962be02aed1e0f3867c2266bd391a9302db8d11d426731d9592245c67584e7",
    "cross_cats_sorted": [
      "math.CA",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-29T17:16:35Z",
    "title_canon_sha256": "7b536f81aad9743c4debeb1047cb004ea56ffd249b4e17adf41cfa07be9dbb4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6991",
    "kind": "arxiv",
    "version": 1
  }
}