Pith Number

pith:I6JMBI27

pith:2019:I6JMBI27DKT7MBBQFVF2GBD7R7

not attested not anchored not stored refs pending

M\"obius Disjointness for Nilsequences Along Short Intervals

Xiaoguang He, Zhiren Wang

arxiv:1905.02864 v1 · 2019-05-08 · math.DS · 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{I6JMBI27DKT7MBBQFVF2GBD7R7}

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	2026-05-17T23:46:45.159708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4792c0a35f1aa7f604302d4ba3047f8fe5ca8a9c2f1a5f79f5c04167f019bcec

Aliases

arxiv: 1905.02864 · arxiv_version: 1905.02864v1 · doi: 10.48550/arxiv.1905.02864 · pith_short_12: I6JMBI27DKT7 · pith_short_16: I6JMBI27DKT7MBBQ · pith_short_8: I6JMBI27

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/I6JMBI27DKT7MBBQFVF2GBD7R7 \
  | 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: 4792c0a35f1aa7f604302d4ba3047f8fe5ca8a9c2f1a5f79f5c04167f019bcec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "559d4c213ec63d4cdbaf258be75e0acb1db83b563b6e5b23a7b8951891824bf9",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-05-08T01:51:25Z",
    "title_canon_sha256": "a5ea27a6b785d4a0ad340017b3b9431dfda8bd2b0570d70bdb2dc046358435dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.02864",
    "kind": "arxiv",
    "version": 1
  }
}