Pith Number

pith:ZJRFS26A

pith:2015:ZJRFS26A3UW47GYMXTN2LBOZ6U

not attested not anchored not stored refs pending

Infinitely Many Carmichael Numbers for a Modified Miller-Rabin Prime Test

Eric Bach, Rex Fernando

arxiv:1512.00444 v2 · 2015-12-01 · math.NT · cs.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{ZJRFS26A3UW47GYMXTN2LBOZ6U}

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	2026-05-18T01:25:25.888556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca62596bc0dd2dcf9b0cbcdba585d9f53c340a6439624c44a30c6b0807a8b0ce

Aliases

arxiv: 1512.00444 · arxiv_version: 1512.00444v2 · doi: 10.48550/arxiv.1512.00444 · pith_short_12: ZJRFS26A3UW4 · pith_short_16: ZJRFS26A3UW47GYM · pith_short_8: ZJRFS26A

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/ZJRFS26A3UW47GYMXTN2LBOZ6U \
  | 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: ca62596bc0dd2dcf9b0cbcdba585d9f53c340a6439624c44a30c6b0807a8b0ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afec867c8aadd0a6990a81fa022f0a88b2ccbdf919a4dd3735c5829c45b0e0f6",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-01T20:54:59Z",
    "title_canon_sha256": "f352792232114bd97f66184aaf9364bf1d9987e0732c4e23ec046618d755026e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00444",
    "kind": "arxiv",
    "version": 2
  }
}