Pith Number

pith:ZAAQU3F7

pith:2019:ZAAQU3F7ONBYQLD2LCFJ53N7ND

not attested not anchored not stored refs pending

On Frobenius-Perron Dimension

Changzheng Li, Chi Zhang, Mingzhi Yang, Ryan M. Shifler

arxiv:1909.01693 v3 · 2019-09-04 · math.AG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZAAQU3F7ONBYQLD2LCFJ53N7ND}

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	2026-07-05T03:59:20.151799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8010a6cbf7343882c7a588a9eedbf68d6d3495bdd7ee3ae71e75a2a6cb74811

Aliases

arxiv: 1909.01693 · arxiv_version: 1909.01693v3 · doi: 10.48550/arxiv.1909.01693 · pith_short_12: ZAAQU3F7ONBY · pith_short_16: ZAAQU3F7ONBYQLD2 · pith_short_8: ZAAQU3F7

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/ZAAQU3F7ONBYQLD2LCFJ53N7ND \
  | 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: c8010a6cbf7343882c7a588a9eedbf68d6d3495bdd7ee3ae71e75a2a6cb74811

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db08526c4d9dfedac1abc1bf6ddb63284f3a3d51607cb060a31dfcca4ae5c45f",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-09-04T11:03:05Z",
    "title_canon_sha256": "f38a126b1c4ddf8633e1558fe4100a6f5876fd75623b9289a9b2f736b3214c8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.01693",
    "kind": "arxiv",
    "version": 3
  }
}