Pith Number

pith:JXEZOK6A

pith:2022:JXEZOK6A5OC7T7L5QZGLTZXSES

not attested not anchored not stored refs pending

Explicit canonical heights for divisors relative to endomorphisms of $\mathbb{P}^N$

Patrick Ingram

arxiv:2207.07206 v1 · 2022-07-14 · 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{JXEZOK6A5OC7T7L5QZGLTZXSES}

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.

Cited by

1 paper in Pith

Heights and morphisms in number fields

Receipt and verification

First computed	2026-07-05T04:40:29.578088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dc9972bc0eb85f9fd7d864cb9e6f224b5b8d1b8703201ccda00ba7a1590b95a

Aliases

arxiv: 2207.07206 · arxiv_version: 2207.07206v1 · doi: 10.48550/arxiv.2207.07206 · pith_short_12: JXEZOK6A5OC7 · pith_short_16: JXEZOK6A5OC7T7L5 · pith_short_8: JXEZOK6A

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/JXEZOK6A5OC7T7L5QZGLTZXSES \
  | 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: 4dc9972bc0eb85f9fd7d864cb9e6f224b5b8d1b8703201ccda00ba7a1590b95a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2825d96c95d644764cd0a3d036ebbeb7527a9fbd8f0b61842e2df989ea352be6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-07-14T21:11:57Z",
    "title_canon_sha256": "583ab25b5fbd62947e729135ab88a752b1c8f9e4c2ca073f6f8066ae8938f815"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.07206",
    "kind": "arxiv",
    "version": 1
  }
}