Pith Number

pith:BV3J3J3H

pith:2014:BV3J3J3HEUDJIOXA7A4X3WLRIW

not attested not anchored not stored refs pending

Portraits of preperiodic points for rational maps

Dragos Ghioca, Khoa Nguyen, Thomas J. Tucker

arxiv:1407.1573 v1 · 2014-07-07 · math.NT · math.AG · 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{BV3J3J3HEUDJIOXA7A4X3WLRIW}

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	2026-05-18T02:03:37.562110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d769da7672506943ae0f8397dd9714590d81012173b3d55d1e4c5ac6f020b12

Aliases

arxiv: 1407.1573 · arxiv_version: 1407.1573v1 · doi: 10.48550/arxiv.1407.1573 · pith_short_12: BV3J3J3HEUDJ · pith_short_16: BV3J3J3HEUDJIOXA · pith_short_8: BV3J3J3H

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/BV3J3J3HEUDJIOXA7A4X3WLRIW \
  | 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: 0d769da7672506943ae0f8397dd9714590d81012173b3d55d1e4c5ac6f020b12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52fd15e7501106c36cca821f1b2eb1b2bc472ab6c0384525d5f8251ebafb3157",
    "cross_cats_sorted": [
      "math.AG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-07T03:54:13Z",
    "title_canon_sha256": "3dba44009e11140afd224606443a19fbb5f8542e9668fcdac7d7923fab017407"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.1573",
    "kind": "arxiv",
    "version": 1
  }
}