Pith Number

pith:RG2HGHUX

pith:2013:RG2HGHUXPGUXHIM2BUCVIL4KNX

not attested not anchored not stored refs pending

Spectral properties of cubic complex Pisot units

Edita Pelantov\'a, Tom\'a\v{s} Hejda

arxiv:1312.0653 v3 · 2013-12-02 · math.MG · cs.DM · math.CO · 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{RG2HGHUXPGUXHIM2BUCVIL4KNX}

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	2026-05-18T02:44:23.059351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89b4731e9779a973a19a0d05542f8a6dd5901c729ad11628ee9e760b13a6d427

Aliases

arxiv: 1312.0653 · arxiv_version: 1312.0653v3 · doi: 10.48550/arxiv.1312.0653 · pith_short_12: RG2HGHUXPGUX · pith_short_16: RG2HGHUXPGUXHIM2 · pith_short_8: RG2HGHUX

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/RG2HGHUXPGUXHIM2BUCVIL4KNX \
  | 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: 89b4731e9779a973a19a0d05542f8a6dd5901c729ad11628ee9e760b13a6d427

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d764964ae6ae380bdc3e667914462b461ef407c945ed3dd8d15e9d8ec9b6bcf5",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-12-02T22:55:14Z",
    "title_canon_sha256": "a73813836c045c10d807bb765381c6fe6220ef4dabf69dd926afc42aef72a947"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0653",
    "kind": "arxiv",
    "version": 3
  }
}