Pith Number

pith:CFI4KOPY

pith:2016:CFI4KOPYWU2M4473HYDE5ZBBGZ

not attested not anchored not stored refs pending

Pisot units, Salem numbers and higher dimensional projective manifolds with primitive automorphisms of positive entropy

Keiji Oguiso

arxiv:1608.03122 v5 · 2016-08-10 · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CFI4KOPYWU2M4473HYDE5ZBBGZ}

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	2026-05-18T00:00:09.516005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1151c539f8b534ce73fb3e064ee4213641e271adef4c4dc49186e9a8b404574e

Aliases

arxiv: 1608.03122 · arxiv_version: 1608.03122v5 · doi: 10.48550/arxiv.1608.03122 · pith_short_12: CFI4KOPYWU2M · pith_short_16: CFI4KOPYWU2M4473 · pith_short_8: CFI4KOPY

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/CFI4KOPYWU2M4473HYDE5ZBBGZ \
  | 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: 1151c539f8b534ce73fb3e064ee4213641e271adef4c4dc49186e9a8b404574e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44433da2aeb9aed489c98532f84431570d46a566642b16b51b04a90b5e000e67",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-08-10T10:57:52Z",
    "title_canon_sha256": "a38e9a7c083716a8f9d946744779359de321bae64d5cde32e38a0ef0ffe7b524"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03122",
    "kind": "arxiv",
    "version": 5
  }
}