Pith Number

pith:GTLZ34VR

pith:2018:GTLZ34VRPHSO5NUFWC5YD3VJUE

not attested not anchored not stored refs pending

Computing with Hamiltonian operators

R. Vitolo

arxiv:1808.03902 v2 · 2018-08-12 · 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{GTLZ34VRPHSO5NUFWC5YD3VJUE}

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	2026-05-17T23:43:33.170057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34d79df2b179e4eeb685b0bb81eea9a1385758c5eeae2667ca540e2be3ad3379

Aliases

arxiv: 1808.03902 · arxiv_version: 1808.03902v2 · doi: 10.48550/arxiv.1808.03902 · pith_short_12: GTLZ34VRPHSO · pith_short_16: GTLZ34VRPHSO5NUF · pith_short_8: GTLZ34VR

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/GTLZ34VRPHSO5NUFWC5YD3VJUE \
  | 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: 34d79df2b179e4eeb685b0bb81eea9a1385758c5eeae2667ca540e2be3ad3379

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80ac54ba5b16f0a5fcf099e2bbd4d65a0791710464a589b32b6f47bc0f20fa6f",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-08-12T07:15:14Z",
    "title_canon_sha256": "c766f46769c18b6a89413f4c4109020892cf28b8bc962c8160cee03856f53ba2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03902",
    "kind": "arxiv",
    "version": 2
  }
}