Pith Number

pith:PNUHGZ2X

pith:2017:PNUHGZ2XFL6V3UQPQBVKTQR77E

not attested not anchored not stored refs pending

Canonical Heights and Monomial Maps: On Effective Lower Bounds for Points with Dense Orbit

Jorge Mello

arxiv:1708.00951 v2 · 2017-08-02 · math.NT · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNUHGZ2XFL6V3UQPQBVKTQR77E}

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	2026-05-17T23:56:30.254550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b687367572afd5dd20f806aa9c23ff935285abf0397ea445a70df2bd0cc086d

Aliases

arxiv: 1708.00951 · arxiv_version: 1708.00951v2 · doi: 10.48550/arxiv.1708.00951 · pith_short_12: PNUHGZ2XFL6V · pith_short_16: PNUHGZ2XFL6V3UQP · pith_short_8: PNUHGZ2X

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/PNUHGZ2XFL6V3UQPQBVKTQR77E \
  | 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: 7b687367572afd5dd20f806aa9c23ff935285abf0397ea445a70df2bd0cc086d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b895a15437236c8f09924ebb61f657884b1fdeff13f7a8b93b1e9fc8683a290a",
    "cross_cats_sorted": [
      "math.AG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-02T22:53:29Z",
    "title_canon_sha256": "b3d55e4837e364f9e681afa6ce089d9dab2bc61bbd77b5c95420ba83640189d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00951",
    "kind": "arxiv",
    "version": 2
  }
}