Pith Number

pith:2VJP2L6E

pith:2018:2VJP2L6E67AJ3QOCK7W7DAGOJZ

not attested not anchored not stored refs pending

Spectral Continuity for Aperiodic Quantum Systems II. Periodic Approximations in 1D

Giuseppe De Nittis, Jean Bellissard, Siegfried Beckus

arxiv:1803.03099 v1 · 2018-03-08 · math.SP · math-ph · math.DS · 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{2VJP2L6E67AJ3QOCK7W7DAGOJZ}

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	2026-05-18T00:21:44.471181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d552fd2fc4f7c09dc1c257edf180ce4e652f52698d3de4de72ac3cf2c0cb7ec6

Aliases

arxiv: 1803.03099 · arxiv_version: 1803.03099v1 · doi: 10.48550/arxiv.1803.03099 · pith_short_12: 2VJP2L6E67AJ · pith_short_16: 2VJP2L6E67AJ3QOC · pith_short_8: 2VJP2L6E

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/2VJP2L6E67AJ3QOCK7W7DAGOJZ \
  | 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: d552fd2fc4f7c09dc1c257edf180ce4e652f52698d3de4de72ac3cf2c0cb7ec6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1f90b0b0656dfd67c028ff9a27602bad111075513496b949be8ef7d9537b59c",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-03-08T14:20:55Z",
    "title_canon_sha256": "3a25c1eac941a629623963823837920e4f49750132770e2d7b92280eec114b74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03099",
    "kind": "arxiv",
    "version": 1
  }
}