Pith Number

pith:GNPTD6F4

pith:2014:GNPTD6F4TI3OGEZJYIL2PIJADI

not attested not anchored not stored refs pending

Spectral gap and the exponential localization in general one-particle systems

Tomotaka Kuwahara

arxiv:1404.7026 v1 · 2014-04-28 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNPTD6F4TI3OGEZJYIL2PIJADI}

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	2026-05-18T02:53:05.307972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

335f31f8bc9a36e31329c217a7a1201a04e44f0e3e4fcde50de5330f427f7a80

Aliases

arxiv: 1404.7026 · arxiv_version: 1404.7026v1 · doi: 10.48550/arxiv.1404.7026 · pith_short_12: GNPTD6F4TI3O · pith_short_16: GNPTD6F4TI3OGEZJ · pith_short_8: GNPTD6F4

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/GNPTD6F4TI3OGEZJYIL2PIJADI \
  | 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: 335f31f8bc9a36e31329c217a7a1201a04e44f0e3e4fcde50de5330f427f7a80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65755d1e41c8a0a6686b6a265e5098698ac8f659e8e08f109d4cf450c80d8e18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-04-28T15:43:05Z",
    "title_canon_sha256": "7b4beca91c7bab33b94c03172be5247daafea15882cec51a5568f746d2d9c40e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7026",
    "kind": "arxiv",
    "version": 1
  }
}