Pith Number

pith:K3EXK3H7

pith:2012:K3EXK3H7EWQ2MU7B2MBMK5MM4C

not attested not anchored not stored refs pending

Primitive prime divisors in the critical orbit of z^d+c

Holly Krieger

arxiv:1203.2555 v2 · 2012-03-12 · math.DS · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K3EXK3H7EWQ2MU7B2MBMK5MM4C}

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	2026-05-18T03:46:45.231796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56c9756cff25a1a653e1d302c5758ce08e01f93ec733903657d9884ffabe42eb

Aliases

arxiv: 1203.2555 · arxiv_version: 1203.2555v2 · doi: 10.48550/arxiv.1203.2555 · pith_short_12: K3EXK3H7EWQ2 · pith_short_16: K3EXK3H7EWQ2MU7B · pith_short_8: K3EXK3H7

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/K3EXK3H7EWQ2MU7B2MBMK5MM4C \
  | 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: 56c9756cff25a1a653e1d302c5758ce08e01f93ec733903657d9884ffabe42eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22ebdb4fbba59a2fbd33cfa4e69485e70c6e92cc05c5e64e9db91d065260570a",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-03-12T17:12:48Z",
    "title_canon_sha256": "7f0df2f5656faf7dd0878e3bf1b15eb7c5c58b0f79aa1f6b33696fac0b2376fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2555",
    "kind": "arxiv",
    "version": 2
  }
}