Pith Number

pith:4RRZQBWW

pith:2024:4RRZQBWW5YQDTA22PWGXUTGOKY

not attested not anchored not stored refs pending

Dynamical Degrees, Arithmetic Degrees, and Canonical Heights: History, Conjectures, and Future Directions

Joseph H. Silverman

arxiv:2408.01559 v1 · 2024-08-02 · math.NT · 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{4RRZQBWW5YQDTA22PWGXUTGOKY}

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

Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties

Receipt and verification

First computed	2026-07-05T08:51:59.631962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4639806d6ee2039835a7d8d7a4cce5606e618ac1a78670816037c2d33dae1c2

Aliases

arxiv: 2408.01559 · arxiv_version: 2408.01559v1 · doi: 10.48550/arxiv.2408.01559 · pith_short_12: 4RRZQBWW5YQD · pith_short_16: 4RRZQBWW5YQDTA22 · pith_short_8: 4RRZQBWW

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/4RRZQBWW5YQDTA22PWGXUTGOKY \
  | 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: e4639806d6ee2039835a7d8d7a4cce5606e618ac1a78670816037c2d33dae1c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a28eae42a3bd99e331e374e55db51fcc4b40de580c70ce15abd4c8f16dcb14c0",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-08-02T20:16:43Z",
    "title_canon_sha256": "8233e1bc7618c4ae79cd2db8b71a0575e7a74397c7a607cde6802d2705d5997e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.01559",
    "kind": "arxiv",
    "version": 1
  }
}