Pith Number

pith:XUCL64PH

pith:2017:XUCL64PHRSU7MYD6MS5RZXGPQF

not attested not anchored not stored refs pending

Spectral Approximation for Ergodic CMV Operators with an Application to Quantum Walks

Darren C. Ong, Jake Fillman, Tom VandenBoom

arxiv:1712.04620 v1 · 2017-12-13 · 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{XUCL64PHRSU7MYD6MS5RZXGPQF}

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	2026-05-18T00:28:04.023221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd04bf71e78ca9f6607e64bb1cdccf815f996e702953df889d32d7cec23930ec

Aliases

arxiv: 1712.04620 · arxiv_version: 1712.04620v1 · doi: 10.48550/arxiv.1712.04620 · pith_short_12: XUCL64PHRSU7 · pith_short_16: XUCL64PHRSU7MYD6 · pith_short_8: XUCL64PH

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/XUCL64PHRSU7MYD6MS5RZXGPQF \
  | 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: bd04bf71e78ca9f6607e64bb1cdccf815f996e702953df889d32d7cec23930ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d38cc114e7c2725d963e7e691dbfefebebe30d72c2a1f419b14232e7e9a335fa",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-12-13T06:31:29Z",
    "title_canon_sha256": "c4d4c2db47ecce875fdcedaa66a7c1c1f5ed50f7b567bfae887bf05732b81be6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04620",
    "kind": "arxiv",
    "version": 1
  }
}