Pith Number

pith:3TKKPFVJ

pith:2024:3TKKPFVJY4SDED3GJCDY73WKF3

not attested not anchored not stored refs pending

Arithmetic degrees of dynamical systems over fields of characteristic zero

Jiarui Song, Wenbin Luo

arxiv:2401.11982 v3 · 2024-01-22 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3TKKPFVJY4SDED3GJCDY73WKF3}

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

Arithmetic Degrees are Cohomological Lyapunov Multipliers

Receipt and verification

First computed	2026-07-05T11:43:27.278777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcd4a796a9c724320f6648878feeca2eef02dfd1cc3597f7374d09a6d6d3ab25

Aliases

arxiv: 2401.11982 · arxiv_version: 2401.11982v3 · doi: 10.48550/arxiv.2401.11982 · pith_short_12: 3TKKPFVJY4SD · pith_short_16: 3TKKPFVJY4SDED3G · pith_short_8: 3TKKPFVJ

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/3TKKPFVJY4SDED3GJCDY73WKF3 \
  | 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: dcd4a796a9c724320f6648878feeca2eef02dfd1cc3597f7374d09a6d6d3ab25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daa75cc64a6bc5c55f9ea3846d193530a9ae4feabf6a7a728bbcb62ba4b1c79c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-01-22T14:34:58Z",
    "title_canon_sha256": "2413bd52aa8679c3b4f2f7e7d152fc54aa5cc9bc735f1d5a4954509d2a116f7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.11982",
    "kind": "arxiv",
    "version": 3
  }
}