Pith Number

pith:KKX6ASBO

pith:2024:KKX6ASBOKCRFT5YTFSRPOHHDUV

not attested not anchored not stored refs pending

Advances in Tabulating Carmichael Numbers

Andrew Shallue, Jonathan Webster

arxiv:2401.14495 v3 · 2024-01-25 · 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{KKX6ASBOKCRFT5YTFSRPOHHDUV}

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.

Cited by

1 paper in Pith

Adversarial Activation Patching: A Framework for Detecting and Mitigating Emergent Deception in Safety-Aligned Transformers

Receipt and verification

First computed	2026-07-05T08:54:06.641760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52afe0482e50a259f7132ca2f71ce3a562e43c6774f91c7b9e6fad901598fb86

Aliases

arxiv: 2401.14495 · arxiv_version: 2401.14495v3 · doi: 10.48550/arxiv.2401.14495 · pith_short_12: KKX6ASBOKCRF · pith_short_16: KKX6ASBOKCRFT5YT · pith_short_8: KKX6ASBO

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/KKX6ASBOKCRFT5YTFSRPOHHDUV \
  | 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: 52afe0482e50a259f7132ca2f71ce3a562e43c6774f91c7b9e6fad901598fb86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e4d57bc4f51a474e7ef15a16e86ac662296606e4e7e19f9602a373176e20239",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-01-25T20:21:45Z",
    "title_canon_sha256": "63d008d4a288229ef62e3747c94b18c7bdcea2e4baa53a73a351a60b1efa1f5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.14495",
    "kind": "arxiv",
    "version": 3
  }
}