Pith Number

pith:65MF2LL4

pith:2005:65MF2LL4HVL25NCJXEP77BWWKK

not attested not anchored not stored refs pending

Localizations at infinity and essential spectrum of quantum Hamiltonians: I. General theory

Andrei Iftimovici, Vladimir Georgescu

arxiv:math-ph/0506051 v2 · 2005-06-20 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{65MF2LL4HVL25NCJXEP77BWWKK}

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	2026-05-18T04:04:43.898852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7585d2d7c3d57aeb449b91fff86d652bf45244aa84206d8040c8f2043d0ab94

Aliases

arxiv: math-ph/0506051 · arxiv_version: math-ph/0506051v2 · doi: 10.48550/arxiv.math-ph/0506051 · pith_short_12: 65MF2LL4HVL2 · pith_short_16: 65MF2LL4HVL25NCJ · pith_short_8: 65MF2LL4

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/65MF2LL4HVL25NCJXEP77BWWKK \
  | 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: f7585d2d7c3d57aeb449b91fff86d652bf45244aa84206d8040c8f2043d0ab94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ce876d7c2fe16457b620dbedb40e2ddb4f4ecfcd8afd7188d91a412420d5fdb",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2005-06-20T16:12:18Z",
    "title_canon_sha256": "308e4fbda833f9e200441e5169d2f3392f55bd4bc7e0f979123932ad0ee75ecf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0506051",
    "kind": "arxiv",
    "version": 2
  }
}