Pith Number

pith:G5RE4GOU

pith:2026:G5RE4GOUETSHMSYRSBJAQIPKIN

not attested not anchored not stored refs pending

On lower bounds for canonical heights of the map $\phi(X,Y)=(Y,X+Y^D+b)$

Jorge Mello

arxiv:2607.12668 v1 · 2026-07-14 · 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{G5RE4GOUETSHMSYRSBJAQIPKIN}

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	2026-07-15T01:22:11.122261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37624e19d424e4764b1190520821ea435fb20fb87e95ae26289cc8918fe3f77d

Aliases

arxiv: 2607.12668 · arxiv_version: 2607.12668v1 · doi: 10.48550/arxiv.2607.12668 · pith_short_12: G5RE4GOUETSH · pith_short_16: G5RE4GOUETSHMSYR · pith_short_8: G5RE4GOU

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/G5RE4GOUETSHMSYRSBJAQIPKIN \
  | 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: 37624e19d424e4764b1190520821ea435fb20fb87e95ae26289cc8918fe3f77d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a6ab85a54dc1d31c6db041ea4d17eb9762c9d6a8f34c8b9a819fa9b693e1fc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-14T11:54:55Z",
    "title_canon_sha256": "59e57a087bf461f42b30c52bd17ffbe75f42e6f0eb263565360aea3b4d407822"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12668",
    "kind": "arxiv",
    "version": 1
  }
}