Pith Number

pith:TCN5RK3O

pith:2012:TCN5RK3OPGLHXQLPSCUBOPUZ6Y

not attested not anchored not stored refs pending

On Certain Computations of Pisot Numbers

Jincheng Zhuang, Qi Cheng

arxiv:1202.5785 v1 · 2012-02-26 · 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{TCN5RK3OPGLHXQLPSCUBOPUZ6Y}

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	2026-05-18T04:01:24.640938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

989bd8ab6e79967bc16f90a8173e99f6090c48cac08318c0035268b94311ac53

Aliases

arxiv: 1202.5785 · arxiv_version: 1202.5785v1 · doi: 10.48550/arxiv.1202.5785 · pith_short_12: TCN5RK3OPGLH · pith_short_16: TCN5RK3OPGLHXQLP · pith_short_8: TCN5RK3O

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/TCN5RK3OPGLHXQLPSCUBOPUZ6Y \
  | 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: 989bd8ab6e79967bc16f90a8173e99f6090c48cac08318c0035268b94311ac53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c7126b490db4cabe5ef4ff4c6f9a22492dd2a28160ae0b96f75bbfcb0974932",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-26T18:04:23Z",
    "title_canon_sha256": "934ffee77b1ba189f7ced574037130fd0a44c686df912b4442130da190737685"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5785",
    "kind": "arxiv",
    "version": 1
  }
}