Pith Number

pith:YLGPCBHQ

pith:2025:YLGPCBHQDR6OEDFJIQ4F735XDL

not attested not anchored not stored refs pending

Preperiodic points, finiteness, and structures of semigroups of algebraic morphisms

Jason P. Bell, Thomas J. Tucker

arxiv:2508.09114 v1 · 2025-08-12 · 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{YLGPCBHQDR6OEDFJIQ4F735XDL}

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	2026-07-05T11:52:39.842671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2ccf104f01c7ce20ca944385fefb71adf8e47ae9135ba280a53097a9eef55a1

Aliases

arxiv: 2508.09114 · arxiv_version: 2508.09114v1 · doi: 10.48550/arxiv.2508.09114 · pith_short_12: YLGPCBHQDR6O · pith_short_16: YLGPCBHQDR6OEDFJ · pith_short_8: YLGPCBHQ

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/YLGPCBHQDR6OEDFJIQ4F735XDL \
  | 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: c2ccf104f01c7ce20ca944385fefb71adf8e47ae9135ba280a53097a9eef55a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71d8871b4f4104edc0601dc14825c51a3672dd2c336eaa03505fbd41531e65b8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-08-12T17:48:50Z",
    "title_canon_sha256": "fccea79d920d8774fd0d4baf99458289e6abbd22bcd01e41557156d94c22a9fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.09114",
    "kind": "arxiv",
    "version": 1
  }
}