Pith Number

pith:KNRJNEFW

pith:2026:KNRJNEFWSSMMGT6RJEOO5T3EW7

not attested not anchored not stored refs pending

Sharp Circular Sampling and Derivative Period Polynomials

Seokho Jin

arxiv:2607.05262 v1 · 2026-07-06 · 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{KNRJNEFWSSMMGT6RJEOO5T3EW7}

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	2026-07-07T03:19:21.367743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53629690b69498c34fd1491ceecf64b7ed262cd4254df3d55c9fad92f6f4afdc

Aliases

arxiv: 2607.05262 · arxiv_version: 2607.05262v1 · doi: 10.48550/arxiv.2607.05262 · pith_short_12: KNRJNEFWSSMM · pith_short_16: KNRJNEFWSSMMGT6R · pith_short_8: KNRJNEFW

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/KNRJNEFWSSMMGT6RJEOO5T3EW7 \
  | 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: 53629690b69498c34fd1491ceecf64b7ed262cd4254df3d55c9fad92f6f4afdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60e6fca4decb56107f0b2c111f4955d7df5534c917dafaff10b476a606b3a0fd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-06T16:09:04Z",
    "title_canon_sha256": "aa156c05f770e7630adaf4a3ce12c194524401f7be22b757496ba95665db176c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05262",
    "kind": "arxiv",
    "version": 1
  }
}