Pith Number

pith:TZO5POJ7

pith:2019:TZO5POJ7ZS5XWDREQ7J422CLNJ

not attested not anchored not stored refs pending

Multipliers and invariants of endomorphisms of projective space in dimension greater than 1

Benjamin Hutz

arxiv:1908.03184 v1 · 2019-08-08 · math.DS · 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{TZO5POJ7ZS5XWDREQ7J422CLNJ}

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	2026-07-04T23:52:27.014083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e5dd7b93fccbb7b0e2487d3cd684b6a7e551b6004e76c0956b2f7f4b2a503e0

Aliases

arxiv: 1908.03184 · arxiv_version: 1908.03184v1 · doi: 10.48550/arxiv.1908.03184 · pith_short_12: TZO5POJ7ZS5X · pith_short_16: TZO5POJ7ZS5XWDRE · pith_short_8: TZO5POJ7

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/TZO5POJ7ZS5XWDREQ7J422CLNJ \
  | 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: 9e5dd7b93fccbb7b0e2487d3cd684b6a7e551b6004e76c0956b2f7f4b2a503e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "603e0d87ab22ac74e60d074a8188cf4601037e3582112488abc0f525d4b165a6",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-08-08T17:30:44Z",
    "title_canon_sha256": "90eec68ab609d581f99d10386cede87f2d3b6ffa87bb0a07cdd603b4d04b9a9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03184",
    "kind": "arxiv",
    "version": 1
  }
}