Pith Number

pith:T46ZELFJ

pith:2026:T46ZELFJGDIUKZIJG5E65AQEYD

not attested not anchored not stored refs pending

On the Fractional Parts of Polynomials Modulo $p$

Chen Lin, Xuejun Guo, Zhefeng Xu

arxiv:2607.21259 v1 · 2026-07-23 · 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{T46ZELFJGDIUKZIJG5E65AQEYD}

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	2026-07-24T01:24:22.466485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f3d922ca930d14565093749ee8204c0e108c2b022e6dc1deb4671a0305aface

Aliases

arxiv: 2607.21259 · arxiv_version: 2607.21259v1 · doi: 10.48550/arxiv.2607.21259 · pith_short_12: T46ZELFJGDIU · pith_short_16: T46ZELFJGDIUKZIJ · pith_short_8: T46ZELFJ

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/T46ZELFJGDIUKZIJG5E65AQEYD \
  | 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: 9f3d922ca930d14565093749ee8204c0e108c2b022e6dc1deb4671a0305aface

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa042d60035a59d1d22800e834b61ada8b84e4260431c176390aa85e34c96d10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-23T12:31:23Z",
    "title_canon_sha256": "4de882ad124298fe25ec2c8ad4e0431c218b399128e80a8f02eb3c1eb72debd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21259",
    "kind": "arxiv",
    "version": 1
  }
}