Pith Number

pith:6IMOOGXJ

pith:2008:6IMOOGXJR3MMCYG3MEI2A2R767

not attested not anchored not stored refs pending

Toy models for D. H. Lehmer's conjecture

Eiichi Bannai, Tsuyoshi Miezaki

arxiv:0812.4643 v2 · 2008-12-26 · 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{6IMOOGXJR3MMCYG3MEI2A2R767}

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	2026-05-18T03:52:26.789714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f218e71ae98ed8c160db6111a06a3ff7e94da5eff54a936fbdc5a47b6d287c18

Aliases

arxiv: 0812.4643 · arxiv_version: 0812.4643v2 · doi: 10.48550/arxiv.0812.4643 · pith_short_12: 6IMOOGXJR3MM · pith_short_16: 6IMOOGXJR3MMCYG3 · pith_short_8: 6IMOOGXJ

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/6IMOOGXJR3MMCYG3MEI2A2R767 \
  | 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: f218e71ae98ed8c160db6111a06a3ff7e94da5eff54a936fbdc5a47b6d287c18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6b71c807ffb37288d11016509c11794db0bb413efba1670090c179768e5c647",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-12-26T05:47:25Z",
    "title_canon_sha256": "f5f70e93d6517ebec2bdcf3303d0da3a186168b7adf5c70ff849ec8312c22cca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.4643",
    "kind": "arxiv",
    "version": 2
  }
}