Pith Number

pith:GERWNO26

pith:2012:GERWNO262QABUH3MGNRSR6ARY5

not attested not anchored not stored refs pending

Preperiodic points for families of rational map

Dragos Ghioca, Liang-Chung Hsia, Thomas J. Tucker

arxiv:1210.7715 v1 · 2012-10-29 · 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{GERWNO262QABUH3MGNRSR6ARY5}

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	2026-05-18T01:53:27.439851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

312366bb5ed4001a1f6c336328f811c74704b49cca03457742e7e60ec75c67a9

Aliases

arxiv: 1210.7715 · arxiv_version: 1210.7715v1 · doi: 10.48550/arxiv.1210.7715 · pith_short_12: GERWNO262QAB · pith_short_16: GERWNO262QABUH3M · pith_short_8: GERWNO26

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/GERWNO262QABUH3MGNRSR6ARY5 \
  | 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: 312366bb5ed4001a1f6c336328f811c74704b49cca03457742e7e60ec75c67a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a63c6b5b168595e17fe0eb15a5bc4991f9e644a2127e7970f36e0669a2f92d2c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-29T16:28:14Z",
    "title_canon_sha256": "9cde00abefd83b259c22249535503c425d2bcf7a3fea8e7487283b614aa2821e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7715",
    "kind": "arxiv",
    "version": 1
  }
}