Pith Number

pith:4ZLD2UO6

pith:2003:4ZLD2UO66XM6XSQDX2SB3UYJN7

not attested not anchored not stored refs pending

Spectral properties on a circle with a singularity

Izumi Tsutsui, Taksu Cheon, Tamas Fulop

arxiv:quant-ph/0307002 v2 · 2003-07-01 · quant-ph · cond-mat.mes-hall · 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{4ZLD2UO66XM6XSQDX2SB3UYJN7}

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	2026-07-04T16:42:32.926607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6563d51def5d9ebca03bea41dd3096fca647cf1516cf3a2eabd5ac8c0016271

Aliases

arxiv: quant-ph/0307002 · arxiv_version: quant-ph/0307002v2 · doi: 10.48550/arxiv.quant-ph/0307002 · pith_short_12: 4ZLD2UO66XM6 · pith_short_16: 4ZLD2UO66XM6XSQD · pith_short_8: 4ZLD2UO6

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/4ZLD2UO66XM6XSQDX2SB3UYJN7 \
  | 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: e6563d51def5d9ebca03bea41dd3096fca647cf1516cf3a2eabd5ac8c0016271

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbe14bfd8b2e90fcad13cf471c04e1329a2780006a27d73a68a0e9b85c7e524b",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-07-01T06:56:41Z",
    "title_canon_sha256": "4f5602e0f834e0d8cb94c737f317831ff7973a2e795c322cfcabb17708172a79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0307002",
    "kind": "arxiv",
    "version": 2
  }
}