Pith Number

pith:L3F24RTI

pith:2014:L3F24RTIX6MZPJXXYJEKVYBFKB

not attested not anchored not stored refs pending

Preperiodic points for rational functions defined over a global field in terms of good reductions

Jung-Kyu Canci, Laura Paladino

arxiv:1403.2293 v5 · 2014-03-10 · 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{L3F24RTIX6MZPJXXYJEKVYBFKB}

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	2026-05-18T01:33:06.942949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ecbae4668bf9997a6f7c248aae025507498174f516370e633083fac04d877fe

Aliases

arxiv: 1403.2293 · arxiv_version: 1403.2293v5 · doi: 10.48550/arxiv.1403.2293 · pith_short_12: L3F24RTIX6MZ · pith_short_16: L3F24RTIX6MZPJXX · pith_short_8: L3F24RTI

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/L3F24RTIX6MZPJXXYJEKVYBFKB \
  | 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: 5ecbae4668bf9997a6f7c248aae025507498174f516370e633083fac04d877fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f96a6b5c01cbb45220089d5a7913bec68cbf5787c5b078026f526b1bcaae799",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-03-10T16:27:34Z",
    "title_canon_sha256": "e619db6e0d6075682ddb768d0241348af5c96cbff8ad63d0dbeec30b05270116"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2293",
    "kind": "arxiv",
    "version": 5
  }
}