Pith Number

pith:OOPJFH2M

pith:2017:OOPJFH2MYFQ7NHAMHELXYS4RC5

not attested not anchored not stored refs pending

Lower Bounds for Maximum Gap in (Inverse) Cyclotomic Polynomials

Eunjeong Lee, Hoon Hong, Mary Ambrosino

arxiv:1702.07650 v1 · 2017-02-24 · 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{OOPJFH2MYFQ7NHAMHELXYS4RC5}

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	2026-05-18T00:50:02.643385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

739e929f4cc161f69c0c39177c4b91174cb2b61361b123f98173222e2a5134ec

Aliases

arxiv: 1702.07650 · arxiv_version: 1702.07650v1 · doi: 10.48550/arxiv.1702.07650 · pith_short_12: OOPJFH2MYFQ7 · pith_short_16: OOPJFH2MYFQ7NHAM · pith_short_8: OOPJFH2M

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/OOPJFH2MYFQ7NHAMHELXYS4RC5 \
  | 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: 739e929f4cc161f69c0c39177c4b91174cb2b61361b123f98173222e2a5134ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccc669b26ac3bb4b0e30c0217b1213ba4b3ff827bd892fe3b383fc00a9d91554",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-02-24T16:30:55Z",
    "title_canon_sha256": "d61d1241ed57cb5a93a233268e95f3914eee2c23cf96bdcc846f77075f529d79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07650",
    "kind": "arxiv",
    "version": 1
  }
}