Pith Number

pith:6G7MRPGQ

pith:2015:6G7MRPGQSR7ZECTXR6E5UE26O3

not attested not anchored not stored refs pending

On the irregular primes with respect to Euler polynomials

Min Sha, Min-Soo Kim, Su Hu

arxiv:1510.01558 v5 · 2015-10-06 · 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{6G7MRPGQSR7ZECTXR6E5UE26O3}

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	2026-05-18T00:05:00.892803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1bec8bcd0947f920a778f89da135e76ddb9e6dcbbd546937ca8f2db669f079b

Aliases

arxiv: 1510.01558 · arxiv_version: 1510.01558v5 · doi: 10.48550/arxiv.1510.01558 · pith_short_12: 6G7MRPGQSR7Z · pith_short_16: 6G7MRPGQSR7ZECTX · pith_short_8: 6G7MRPGQ

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/6G7MRPGQSR7ZECTXR6E5UE26O3 \
  | 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: f1bec8bcd0947f920a778f89da135e76ddb9e6dcbbd546937ca8f2db669f079b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55fd620c921029b562fd063d8bb8c5c82e6ff5c4a7e639b6cfac8fc482e8860e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-06T12:50:41Z",
    "title_canon_sha256": "9a1526697f548d01412571cecc9ad0baa667c58115388db5cbaeaaad66ae84f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01558",
    "kind": "arxiv",
    "version": 5
  }
}