Pith Number

pith:EZM7LNAT

pith:2016:EZM7LNAT47E7BQVOIZUI35RSHM

not attested not anchored not stored refs pending

Telescoping method and congruences for double sums

Yan-Ping Mu, Zhi-Wei Sun

arxiv:1601.03952 v4 · 2016-01-14 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EZM7LNAT47E7BQVOIZUI35RSHM}

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	2026-05-18T00:29:39.662379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2659f5b413e7c9f0c2ae46688df6323b32614a26acd493b8b434fd65c8674126

Aliases

arxiv: 1601.03952 · arxiv_version: 1601.03952v4 · doi: 10.48550/arxiv.1601.03952 · pith_short_12: EZM7LNAT47E7 · pith_short_16: EZM7LNAT47E7BQVO · pith_short_8: EZM7LNAT

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/EZM7LNAT47E7BQVOIZUI35RSHM \
  | 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: 2659f5b413e7c9f0c2ae46688df6323b32614a26acd493b8b434fd65c8674126

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8ba88608a84f705067cdba1eae100a20b9f3c9f2de20df2dd82b8a344b93cd8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-14T16:58:00Z",
    "title_canon_sha256": "1ae5aa7cdf322b727136b7a94b72c49ab0cfbfaf0664b1d73e2f84acb1dc9881"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03952",
    "kind": "arxiv",
    "version": 4
  }
}