Pith Number

pith:4HFIDIVL

pith:2023:4HFIDIVL3AZU35P2QEY6CONSG5

not attested not anchored not stored refs pending

Preimages Question for Surjective Endomorphisms on $(\mathbb{P}^1)^n$

Xiao Zhong

arxiv:2311.04349 v2 · 2023-11-07 · 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{4HFIDIVL3AZU35P2QEY6CONSG5}

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

Towards Common Zeros of Iterated Morphisms

Receipt and verification

First computed	2026-07-05T07:11:19.912335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1ca81a2abd8334df5fa8131e139b2374e8045e5fba011f08031757f08f0c4da

Aliases

arxiv: 2311.04349 · arxiv_version: 2311.04349v2 · doi: 10.48550/arxiv.2311.04349 · pith_short_12: 4HFIDIVL3AZU · pith_short_16: 4HFIDIVL3AZU35P2 · pith_short_8: 4HFIDIVL

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/4HFIDIVL3AZU35P2QEY6CONSG5 \
  | 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: e1ca81a2abd8334df5fa8131e139b2374e8045e5fba011f08031757f08f0c4da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b416efc72c065a4016cd314688c560aaaa5eceea4341a8f0890021e8b4f39cb",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-11-07T21:12:50Z",
    "title_canon_sha256": "6d33325c9b4a19cb5feadf04b55bab5fc5c55ef2d1d36a7f10f67793e6a4326e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.04349",
    "kind": "arxiv",
    "version": 2
  }
}