Pith Number

pith:IEZIOBAQ

pith:2025:IEZIOBAQMF5B4BCVTJOEMRQ3MS

not attested not anchored not stored refs pending

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

Yohsuke Matsuzawa

arxiv:2507.05027 v1 · 2025-07-07 · math.AG · math.DS · 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{IEZIOBAQMF5B4BCVTJOEMRQ3MS}

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	2026-07-05T11:33:08.032374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4132870410617a1e04559a5c46461b64a174450d5ffb8e549a2971f133c4d95e

Aliases

arxiv: 2507.05027 · arxiv_version: 2507.05027v1 · doi: 10.48550/arxiv.2507.05027 · pith_short_12: IEZIOBAQMF5B · pith_short_16: IEZIOBAQMF5B4BCV · pith_short_8: IEZIOBAQ

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/IEZIOBAQMF5B4BCVTJOEMRQ3MS \
  | 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: 4132870410617a1e04559a5c46461b64a174450d5ffb8e549a2971f133c4d95e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "135184e5e6fae1607819af52c8afed6e952d81937ad0d1f489675c3fb3b57840",
    "cross_cats_sorted": [
      "math.DS",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-07T14:10:01Z",
    "title_canon_sha256": "6c2d801e58b04b76490cd9d07d176d91059267c39b1c7c6d3fda5f1f61b3a051"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.05027",
    "kind": "arxiv",
    "version": 1
  }
}