Pith Number

pith:3IXQGACK

pith:2012:3IXQGACK7NQLGB2MM5QPXPRX6N

not attested not anchored not stored refs pending

On quadratic rational maps with prescribed good reduction

Brian Stout, Clayton Petsche

arxiv:1208.5794 v2 · 2012-08-28 · 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{3IXQGACK7NQLGB2MM5QPXPRX6N}

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	2026-05-18T00:47:43.601166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da2f03004afb60b3074c6760fbbe37f342712bc43f0d35a08251400876ccd829

Aliases

arxiv: 1208.5794 · arxiv_version: 1208.5794v2 · doi: 10.48550/arxiv.1208.5794 · pith_short_12: 3IXQGACK7NQL · pith_short_16: 3IXQGACK7NQLGB2M · pith_short_8: 3IXQGACK

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/3IXQGACK7NQLGB2MM5QPXPRX6N \
  | 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: da2f03004afb60b3074c6760fbbe37f342712bc43f0d35a08251400876ccd829

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e33f4ff73b2101c841e41eb0d0a4628d55993f48f552e5c97b61fa69a7f201e",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-28T21:02:18Z",
    "title_canon_sha256": "8c38b9e090e6b2bebef2daab167d8b1eda9a5d3bb3cab6e757eb8c42b94b8b1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5794",
    "kind": "arxiv",
    "version": 2
  }
}