Pith Number

pith:PUTI4K45

pith:2017:PUTI4K456PNEO5L4T66POUB5OF

not attested not anchored not stored refs pending

On aperiodicity and hypercyclic weighted translation operators

Kui-Yo Chen

arxiv:1701.03604 v2 · 2017-01-13 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PUTI4K456PNEO5L4T66POUB5OF}

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	2026-05-18T00:20:17.457652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d268e2b9df3da47757c9fbcf7503d716156b52b2ad6807afb92ce78098566cc

Aliases

arxiv: 1701.03604 · arxiv_version: 1701.03604v2 · doi: 10.48550/arxiv.1701.03604 · pith_short_12: PUTI4K456PNE · pith_short_16: PUTI4K456PNEO5L4 · pith_short_8: PUTI4K45

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/PUTI4K456PNEO5L4T66POUB5OF \
  | 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: 7d268e2b9df3da47757c9fbcf7503d716156b52b2ad6807afb92ce78098566cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fdd68e35455b0148e440534e3600503f24cd65763e03dec2653259bbe304816",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-01-13T09:30:14Z",
    "title_canon_sha256": "321407a3eea2f415d0defe3065070fa222dfba0b38bbc37272afe74c3b25f4c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03604",
    "kind": "arxiv",
    "version": 2
  }
}