Pith Number

pith:VBQNGDYI

pith:2025:VBQNGDYIJDZMHYC5LZBV54GMUT

not attested not anchored not stored refs pending

The Minkowski dimension of the image of an arboreal Galois representation

Chifan Leung, Clayton Petsche

arxiv:2512.18825 v2 · 2025-12-21 · 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{VBQNGDYIJDZMHYC5LZBV54GMUT}

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	2026-07-31T01:33:03.389735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

a860d30f0848f2c3e05d5e435ef0cca4e6d2029c2820e9fb09b0dc0e1edaba0a

Aliases

arxiv: 2512.18825 · arxiv_version: 2512.18825v2 · doi: 10.48550/arxiv.2512.18825 · pith_short_12: VBQNGDYIJDZM · pith_short_16: VBQNGDYIJDZMHYC5 · pith_short_8: VBQNGDYI

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/VBQNGDYIJDZMHYC5LZBV54GMUT \
  | 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: a860d30f0848f2c3e05d5e435ef0cca4e6d2029c2820e9fb09b0dc0e1edaba0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "368e6ee8e7914ff5e51184a4bbb38aed64c774893fa26f8f28d772ea2f4a3fd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-12-21T17:18:26Z",
    "title_canon_sha256": "859c3f5e1808f7231cbd4f49984f612e57a092af2db60e20b0af929618f23b13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.18825",
    "kind": "arxiv",
    "version": 2
  }
}