Pith Number

pith:34UFIXLN

pith:2012:34UFIXLNQY725N5XKFGO7NQBV7

not attested not anchored not stored refs pending

Bounds on the radius of the p-adic Mandelbrot set

Jacqueline Anderson

arxiv:1207.2628 v2 · 2012-07-11 · 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{34UFIXLNQY725N5XKFGO7NQBV7}

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	2026-05-18T00:47:53.855677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df28545d6d863faeb7b7514cefb601affc667298adac30cccac3cd98202428ea

Aliases

arxiv: 1207.2628 · arxiv_version: 1207.2628v2 · doi: 10.48550/arxiv.1207.2628 · pith_short_12: 34UFIXLNQY72 · pith_short_16: 34UFIXLNQY725N5X · pith_short_8: 34UFIXLN

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/34UFIXLNQY725N5XKFGO7NQBV7 \
  | 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: df28545d6d863faeb7b7514cefb601affc667298adac30cccac3cd98202428ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b49ca13f5e15ca07ea166e2603fb12638fced679e964283817428af03314a261",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-11T13:12:29Z",
    "title_canon_sha256": "8e31e86a4cda1f31972102bbb54938b8ac790db7fe88336610ab2731c6dd5d1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2628",
    "kind": "arxiv",
    "version": 2
  }
}