Pith Number

pith:KKJNDFOB

pith:2017:KKJNDFOB3XR2MZC6PEPPPGOTWJ

not attested not anchored not stored refs pending

Frobenius-Perron Theory of Endofunctors

Elizabeth Wicks, Hong Zhu, James Jian Zhang, Jianmin Chen, Xiaohong Zhang, Zhibin Gao

arxiv:1711.06670 v3 · 2017-11-17 · math.RA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KKJNDFOB3XR2MZC6PEPPPGOTWJ}

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	2026-07-04T23:50:10.855022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5292d195c1dde3a6645e791ef799d3b25b526020860215e4ef0ba7535296482d

Aliases

arxiv: 1711.06670 · arxiv_version: 1711.06670v3 · doi: 10.48550/arxiv.1711.06670 · pith_short_12: KKJNDFOB3XR2 · pith_short_16: KKJNDFOB3XR2MZC6 · pith_short_8: KKJNDFOB

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/KKJNDFOB3XR2MZC6PEPPPGOTWJ \
  | 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: 5292d195c1dde3a6645e791ef799d3b25b526020860215e4ef0ba7535296482d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d473cf0a395ac96a261812004622bd07044d31aab2519feadec09d1ee55b9ab",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-11-17T18:57:11Z",
    "title_canon_sha256": "be2a9d82e66e57ca8ee57dc0cc48431160da088b29cd825dbad818683833caf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06670",
    "kind": "arxiv",
    "version": 3
  }
}