Pith Number

pith:L4F5NLKG

pith:2023:L4F5NLKGW34UG46PFLIQ4DKLN6

not attested not anchored not stored refs pending

Efficient Equidistribution of Nilsequences

James Leng

arxiv:2312.10772 v5 · 2023-12-17 · math.NT · math.CA · math.CO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L4F5NLKGW34UG46PFLIQ4DKLN6}

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

On polynomial progressions via transference

Receipt and verification

First computed	2026-07-05T08:54:45.504479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f0bd6ad46b6f94373cf2ad10e0d4b6f8b79ed0b576dae322e2f7b61c3e268d2

Aliases

arxiv: 2312.10772 · arxiv_version: 2312.10772v5 · doi: 10.48550/arxiv.2312.10772 · pith_short_12: L4F5NLKGW34U · pith_short_16: L4F5NLKGW34UG46P · pith_short_8: L4F5NLKG

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/L4F5NLKGW34UG46PFLIQ4DKLN6 \
  | 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: 5f0bd6ad46b6f94373cf2ad10e0d4b6f8b79ed0b576dae322e2f7b61c3e268d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64b5d3f760edaa83bfa888cd50f1412f5b2f2f194cb93f6f68570902dceebb5e",
    "cross_cats_sorted": [
      "math.CA",
      "math.CO",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-12-17T17:45:02Z",
    "title_canon_sha256": "ab2270088066ff03f72775ef0b24bf989e39e98b2bb5f5911a9785ba5eb9bc41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.10772",
    "kind": "arxiv",
    "version": 5
  }
}