Pith Number

pith:IQ6SJJZQ

pith:2025:IQ6SJJZQOWZ7COUDT2J7QHRFPT

not attested not anchored not stored refs pending

A uniform Tits alternative for endomorphisms of the projective line

Alonso Beaumont

arxiv:2504.14263 v1 · 2025-04-19 · math.NT · math.DS · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IQ6SJJZQOWZ7COUDT2J7QHRFPT}

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	2026-07-05T10:51:40.848459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

443d24a73075b3f13a839e93f81e257cf9d882c70e0a24140a5d36343fe29ec3

Aliases

arxiv: 2504.14263 · arxiv_version: 2504.14263v1 · doi: 10.48550/arxiv.2504.14263 · pith_short_12: IQ6SJJZQOWZ7 · pith_short_16: IQ6SJJZQOWZ7COUD · pith_short_8: IQ6SJJZQ

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/IQ6SJJZQOWZ7COUDT2J7QHRFPT \
  | 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: 443d24a73075b3f13a839e93f81e257cf9d882c70e0a24140a5d36343fe29ec3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa885c597dd1c67a37d8bf378e86d12c6001be804a7907e767d5c3a009ef582a",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-04-19T11:09:44Z",
    "title_canon_sha256": "a49bbd5c5586bf048f2a39108d7b2175cec994818dcdd38da7a7aad2b49e9841"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.14263",
    "kind": "arxiv",
    "version": 1
  }
}