Pith Number

pith:MLTITPPQ

pith:2012:MLTITPPQGRSHACBJMKU3XPLJPP

not attested not anchored not stored refs pending

Uniform bounds for pre-periodic points in families of twists

Alon Levy, Bianca Thompson, Michelle Manes

arxiv:1204.4447 v2 · 2012-04-19 · 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{MLTITPPQGRSHACBJMKU3XPLJPP}

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	2026-05-18T03:55:58.693464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62e689bdf0346470082962a9bbbd697bd40c9e0047f3d8a395211eae655bc123

Aliases

arxiv: 1204.4447 · arxiv_version: 1204.4447v2 · doi: 10.48550/arxiv.1204.4447 · pith_short_12: MLTITPPQGRSH · pith_short_16: MLTITPPQGRSHACBJ · pith_short_8: MLTITPPQ

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/MLTITPPQGRSHACBJMKU3XPLJPP \
  | 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: 62e689bdf0346470082962a9bbbd697bd40c9e0047f3d8a395211eae655bc123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abcf5ac564bbcb0a9d3a82da5e368342bd31c84424ba7b389b946d86c1084079",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-19T19:59:20Z",
    "title_canon_sha256": "a106bb399b47ea3f15b939f2e5e47a3f1c71d6ab752ccd60b0266be58c40ac50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4447",
    "kind": "arxiv",
    "version": 2
  }
}