Pith Number

pith:4YDXDUEK

pith:2013:4YDXDUEKS36KJRDYTKO3F3XOBZ

not attested not anchored not stored refs pending

Wei-Norman equations for a unitary evolution

Marek Ku\'s, Szymon Charzy\'nski

arxiv:1302.2602 v1 · 2013-02-11 · math.CA · 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{4YDXDUEKS36KJRDYTKO3F3XOBZ}

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	2026-05-18T03:04:22.548835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e60771d08a96fca4c4789a9db2eeee0e48b3cd5d68587cd00c98e8587ad5cc39

Aliases

arxiv: 1302.2602 · arxiv_version: 1302.2602v1 · doi: 10.48550/arxiv.1302.2602 · pith_short_12: 4YDXDUEKS36K · pith_short_16: 4YDXDUEKS36KJRDY · pith_short_8: 4YDXDUEK

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/4YDXDUEKS36KJRDYTKO3F3XOBZ \
  | 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: e60771d08a96fca4c4789a9db2eeee0e48b3cd5d68587cd00c98e8587ad5cc39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "856bb3e6a757204201c3ae7f2f092b008463715bd7f651a6d764b867b195e169",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-02-11T20:28:09Z",
    "title_canon_sha256": "cbcc73dd6b66101c31a2dedd826cb8e26998b506b2ccbe822a3f7b9137863ba5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2602",
    "kind": "arxiv",
    "version": 1
  }
}