Pith Number

pith:FZEYVL76

pith:2016:FZEYVL766A5BGZHUJTOZST42D4

not attested not anchored not stored refs pending

On the spectra of Pisot-cyclotomic numbers

Kevin G. Hare, Tom\'a\v{s} V\'avra, Zuzana Mas\'akov\'a

arxiv:1612.09285 v1 · 2016-12-29 · math-ph · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZEYVL766A5BGZHUJTOZST42D4}

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	2026-05-18T00:53:46.081098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e498aaffef03a1364f44cdd994f9a1f22469e6aa27fbe6339ac7625d30cffcf

Aliases

arxiv: 1612.09285 · arxiv_version: 1612.09285v1 · doi: 10.48550/arxiv.1612.09285 · pith_short_12: FZEYVL766A5B · pith_short_16: FZEYVL766A5BGZHU · pith_short_8: FZEYVL76

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/FZEYVL766A5BGZHUJTOZST42D4 \
  | 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: 2e498aaffef03a1364f44cdd994f9a1f22469e6aa27fbe6339ac7625d30cffcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82f0ccc2bc4e701efe83fa9b3676661d55308eccfaf1bc1aa3318a7e476cdc33",
    "cross_cats_sorted": [
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-12-29T20:43:05Z",
    "title_canon_sha256": "0c19a9f6a81fe7c3e00b8ba07823e16af09b88c54b2139c9e7b2a97f18c4c2c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09285",
    "kind": "arxiv",
    "version": 1
  }
}