Pith Number

pith:M7ROJON7

pith:2015:M7ROJON7JTNQ4TIW53KV2RZR7Z

not attested not anchored not stored refs pending

Preperiodic points for rational functions defined over a rational function field of characteristic zero

J.K. Canci

arxiv:1505.07753 v2 · 2015-05-28 · 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{M7ROJON7JTNQ4TIW53KV2RZR7Z}

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	2026-05-18T01:34:41.695497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67e2e4b9bf4cdb0e4d16eed55d4731fe77df819c7acba5b93b8a0563b50b6691

Aliases

arxiv: 1505.07753 · arxiv_version: 1505.07753v2 · doi: 10.48550/arxiv.1505.07753 · pith_short_12: M7ROJON7JTNQ · pith_short_16: M7ROJON7JTNQ4TIW · pith_short_8: M7ROJON7

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/M7ROJON7JTNQ4TIW53KV2RZR7Z \
  | 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: 67e2e4b9bf4cdb0e4d16eed55d4731fe77df819c7acba5b93b8a0563b50b6691

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51240196b82116fe19341f8da60c9b05a41d4c09e61ceb876977521e99863232",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-28T16:48:52Z",
    "title_canon_sha256": "b10b9a40b31926ebb849ba6b08c35425d4579917df9ccd154a03f6d6159bce37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07753",
    "kind": "arxiv",
    "version": 2
  }
}