Pith Number

pith:3IB5LJIF

pith:2020:3IB5LJIFW6O4DLYMI5ZRKVXPJX

not attested not anchored not stored refs pending

Homogeneous Hamiltonian operators and the theory of coverings

Pierandrea Vergallo, Raffaele Vitolo

arxiv:2007.15294 v4 · 2020-07-30 · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3IB5LJIFW6O4DLYMI5ZRKVXPJX}

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	2026-07-05T03:19:59.315964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da03d5a505b79dc1af0c47731556ef4def8edb2dd55daa5a34674f176247bd7d

Aliases

arxiv: 2007.15294 · arxiv_version: 2007.15294v4 · doi: 10.48550/arxiv.2007.15294 · pith_short_12: 3IB5LJIFW6O4 · pith_short_16: 3IB5LJIFW6O4DLYM · pith_short_8: 3IB5LJIF

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/3IB5LJIFW6O4DLYMI5ZRKVXPJX \
  | 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: da03d5a505b79dc1af0c47731556ef4def8edb2dd55daa5a34674f176247bd7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70c678d6cee1538bc0692141cc4ed4cee9b05c3549e1e7c58cb1bb37b197572c",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-07-30T08:19:04Z",
    "title_canon_sha256": "b1700c53e2a81666eb2f74e568ced41f9917c6ea6e3909cbf65288270ec9100c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.15294",
    "kind": "arxiv",
    "version": 4
  }
}