Pith Number

pith:FRPUPWGI

pith:2014:FRPUPWGILDNKCFX7IAXMCHQLEN

not attested not anchored not stored refs pending

Description of spectra of quadratic Pisot units

Edita Pelantov\'a, Kate\v{r}ina Pastir\v{c}\'akov\'a, Zuzana Mas\'akov\'a

arxiv:1402.1582 v1 · 2014-02-07 · 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{FRPUPWGILDNKCFX7IAXMCHQLEN}

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	2026-05-18T02:59:46.804633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c5f47d8c858daa116ff402ec11e0b2375533f01236b3152e124153dd0bd77d2

Aliases

arxiv: 1402.1582 · arxiv_version: 1402.1582v1 · doi: 10.48550/arxiv.1402.1582 · pith_short_12: FRPUPWGILDNK · pith_short_16: FRPUPWGILDNKCFX7 · pith_short_8: FRPUPWGI

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/FRPUPWGILDNKCFX7IAXMCHQLEN \
  | 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: 2c5f47d8c858daa116ff402ec11e0b2375533f01236b3152e124153dd0bd77d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94e59ca41a2eaa09f68fdf89019108ecd1d11cd3e8be5ddd655af1df4de616e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-02-07T10:04:27Z",
    "title_canon_sha256": "c8bc7b25a8d6e9a135f6c341f72cd5c95de4cf38aee64ee227d5302e864a7561"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1582",
    "kind": "arxiv",
    "version": 1
  }
}