Pith Number

pith:4XB3ZW2M

pith:1995:4XB3ZW2M6VUI4T7WFIWAMXDBR5

not attested not anchored not stored refs pending

How to construct a coordinate representation of a Hamiltonian operator on a torus

K. Yamamoto, M. Yamanobe, S. Ishikawa, T. Miyazaki

arxiv:hep-th/9511025 v1 · 1995-11-04 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XB3ZW2M6VUI4T7WFIWAMXDBR5}

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	2026-05-18T01:38:38.669479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5c3bcdb4cf5688e4ff62a2c065c618f509b4cc935e2002cbc1c3303a9063301

Aliases

arxiv: hep-th/9511025 · arxiv_version: hep-th/9511025v1 · doi: 10.48550/arxiv.hep-th/9511025 · pith_short_12: 4XB3ZW2M6VUI · pith_short_16: 4XB3ZW2M6VUI4T7W · pith_short_8: 4XB3ZW2M

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/4XB3ZW2M6VUI4T7WFIWAMXDBR5 \
  | 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: e5c3bcdb4cf5688e4ff62a2c065c618f509b4cc935e2002cbc1c3303a9063301

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a64b41c77cc1c2df93caa5b2f822e3427fdb671ff78182e4238954230b6d66d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1995-11-04T09:37:12Z",
    "title_canon_sha256": "04876947713e322f369f92c716f8ef7bc511f46679adf428d501c7f467d2dbe6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9511025",
    "kind": "arxiv",
    "version": 1
  }
}