Pith Number

pith:NYLMUBI7

pith:2007:NYLMUBI7Q2USUTFHGPPWUIC3JN

not attested not anchored not stored refs pending

Self-adjoint, globally defined Hamiltonian operators for systems with boundaries

Andrea Posilicano, Joao Nuno Prata, Nuno Costa Dias

arxiv:0707.0948 v4 · 2007-07-06 · 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{NYLMUBI7Q2USUTFHGPPWUIC3JN}

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	2026-05-18T03:58:04.792182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e16ca051f86a92a4ca733df6a205b4b5041555215f5c7a1b59c801921385efc

Aliases

arxiv: 0707.0948 · arxiv_version: 0707.0948v4 · doi: 10.48550/arxiv.0707.0948 · pith_short_12: NYLMUBI7Q2US · pith_short_16: NYLMUBI7Q2USUTFH · pith_short_8: NYLMUBI7

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/NYLMUBI7Q2USUTFHGPPWUIC3JN \
  | 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: 6e16ca051f86a92a4ca733df6a205b4b5041555215f5c7a1b59c801921385efc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dec58b5dd1cb8fa322f98c36d9a6af7cfdd17c68075dee362ed0e8cd6a82ca76",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2007-07-06T11:18:18Z",
    "title_canon_sha256": "e620de6182d8fc00f4240ec5eee57f93d49de57fe931357ca7be5cc4cc1f7862"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.0948",
    "kind": "arxiv",
    "version": 4
  }
}