Pith Number

pith:62CQEM6U

pith:2012:62CQEM6UDRNFUS44B6ADMTL5E6

not attested not anchored not stored refs pending

Spectral Properties of Schr\"odinger Operators Arising in the Study of Quasicrystals

Anton Gorodetski (UC Irvine), David Damanik (Rice University), Mark Embree (Rice University)

arxiv:1210.5753 v2 · 2012-10-21 · math-ph · math.DS · math.MP · math.NA · 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{62CQEM6UDRNFUS44B6ADMTL5E6}

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	2026-05-18T01:16:33.691443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6850233d41c5a5a4b9c0f80364d7d27a3c663ca6a6db5db3dccbc028a67eef1

Aliases

arxiv: 1210.5753 · arxiv_version: 1210.5753v2 · doi: 10.48550/arxiv.1210.5753 · pith_short_12: 62CQEM6UDRNF · pith_short_16: 62CQEM6UDRNFUS44 · pith_short_8: 62CQEM6U

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/62CQEM6UDRNFUS44B6ADMTL5E6 \
  | 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: f6850233d41c5a5a4b9c0f80364d7d27a3c663ca6a6db5db3dccbc028a67eef1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e40b6bea2916234d9fa37afab5ecbac436ecd160207a0edf83263de550d173f",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP",
      "math.NA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-21T19:20:40Z",
    "title_canon_sha256": "d4e64da71e1cda896bf4325a23efae4bc1cf69dd5ccfc7fa29aaf99167efff52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5753",
    "kind": "arxiv",
    "version": 2
  }
}