Pith Number

pith:IBJSJCL4

pith:2018:IBJSJCL473S3ERFMYGD7IIIFYZ

not attested not anchored not stored refs pending

Rational maps with a preperiodic critical point

Adam L. Epstein, Sarah Koch, Xavier Buff

arxiv:1806.11221 v2 · 2018-06-28 · 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{IBJSJCL473S3ERFMYGD7IIIFYZ}

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	2026-05-17T23:57:15.102950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

405324897cfee5b244acc187f42105c67a9283916fca9287cc1cdb3924280869

Aliases

arxiv: 1806.11221 · arxiv_version: 1806.11221v2 · doi: 10.48550/arxiv.1806.11221 · pith_short_12: IBJSJCL473S3 · pith_short_16: IBJSJCL473S3ERFM · pith_short_8: IBJSJCL4

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/IBJSJCL473S3ERFMYGD7IIIFYZ \
  | 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: 405324897cfee5b244acc187f42105c67a9283916fca9287cc1cdb3924280869

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7ceb4fa28c5a404018fa824c755d1ef1e15e87c359f7d411210982daeece9b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-06-28T22:34:09Z",
    "title_canon_sha256": "ec96b2ab031165c6aebc5e3a6d0ccec4878b36e07919d36537f7dc60d11004e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.11221",
    "kind": "arxiv",
    "version": 2
  }
}