Pith Number

pith:3JGIJI7D

pith:2012:3JGIJI7DD3WDPVPD77JQHPOWON

not attested not anchored not stored refs pending

Attracting cycles in p-adic dynamics and height bounds for post-critically finite maps

Alon Levy, Patrick Ingram, Rafe Jones, Robert L. Benedetto

arxiv:1201.1605 v4 · 2012-01-08 · 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{3JGIJI7DD3WDPVPD77JQHPOWON}

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	2026-05-18T02:29:25.510424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da4c84a3e31eec37d5e3ffd303bdd6734c2108a119bfe842dd955b78fea9d959

Aliases

arxiv: 1201.1605 · arxiv_version: 1201.1605v4 · doi: 10.48550/arxiv.1201.1605 · pith_short_12: 3JGIJI7DD3WD · pith_short_16: 3JGIJI7DD3WDPVPD · pith_short_8: 3JGIJI7D

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/3JGIJI7DD3WDPVPD77JQHPOWON \
  | 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: da4c84a3e31eec37d5e3ffd303bdd6734c2108a119bfe842dd955b78fea9d959

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b08849d94755b601741b42fba8d6e994c799df5af0081b896c0295fce164497b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-08T05:01:04Z",
    "title_canon_sha256": "632663be7ef810229efca78416d5e0ed79bb8bec27e1da1e25b3ad8e915b7a78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1605",
    "kind": "arxiv",
    "version": 4
  }
}