Pith Number

pith:6ESPLULQ

pith:2025:6ESPLULQM6SYG7MLF2UBLJMQUR

not attested not anchored not stored refs pending

Congruence properties of Lehmer-Euler numbers

Guo-Dong Liu, Takao Komatsu

arxiv:2501.01178 v1 · 2025-01-02 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ESPLULQM6SYG7MLF2UBLJMQUR}

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

Ordered set partition posets

Receipt and verification

First computed	2026-07-05T09:56:15.934595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f124f5d17067a5837d8b2ea815a590a46d6cff380fd6bde45fae96634d436dad

Aliases

arxiv: 2501.01178 · arxiv_version: 2501.01178v1 · doi: 10.48550/arxiv.2501.01178 · pith_short_12: 6ESPLULQM6SY · pith_short_16: 6ESPLULQM6SYG7ML · pith_short_8: 6ESPLULQ

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/6ESPLULQM6SYG7MLF2UBLJMQUR \
  | 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: f124f5d17067a5837d8b2ea815a590a46d6cff380fd6bde45fae96634d436dad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ef3532280ce410fa7134706c9bdbf18a9d62c854325da74d61b0912ece69e39",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-01-02T10:13:26Z",
    "title_canon_sha256": "63da1103df3f4b6c87214535cc3410da24ce2ec254ec5a73c0974a9bbe8434fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.01178",
    "kind": "arxiv",
    "version": 1
  }
}