Pith Number

pith:Y2D3ZQIS

pith:2015:Y2D3ZQIS3T4CA7ABPQIX52PFGR

not attested not anchored not stored refs pending

Finite ramification for preimage fields of postcritically finite morphisms

Alon Levy, Andrew Bridy, Jamie Juul, Joseph H. Silverman, Michelle Manes, Patrick Ingram, Rafe Jones, Simon Rubinstein-Salzedo

arxiv:1511.00194 v2 · 2015-11-01 · 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{Y2D3ZQIS3T4CA7ABPQIX52PFGR}

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	2026-05-18T01:25:26.027394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c687bcc112dcf8207c017c117ee9e5347144994d35f3562ab49a68faeb8369c1

Aliases

arxiv: 1511.00194 · arxiv_version: 1511.00194v2 · doi: 10.48550/arxiv.1511.00194 · pith_short_12: Y2D3ZQIS3T4C · pith_short_16: Y2D3ZQIS3T4CA7AB · pith_short_8: Y2D3ZQIS

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/Y2D3ZQIS3T4CA7ABPQIX52PFGR \
  | 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: c687bcc112dcf8207c017c117ee9e5347144994d35f3562ab49a68faeb8369c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ff3069946c52785e3fa758186f9961588b7c2e051987f2e69c24b3ee0eae368",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-01T00:51:31Z",
    "title_canon_sha256": "9bdf19f5c03d178eb7fc2a285f74e1634ba0b373e81e3aef8557fe24e0157677"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00194",
    "kind": "arxiv",
    "version": 2
  }
}