Pith Number

pith:UZSM5RMY

pith:2013:UZSM5RMYPXMXM24Q46TA4AWXH6

not attested not anchored not stored refs pending

On q-Analog of Wolstenholme Type Congruences for Multiple Harmonic Sums

Jianqiang Zhao

arxiv:1303.3060 v1 · 2013-03-12 · 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{UZSM5RMYPXMXM24Q46TA4AWXH6}

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	2026-05-18T02:28:29.478444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a664cec5987dd9766b90e7a60e02d73fb5381cc9b60df5837dbc22afe6177f25

Aliases

arxiv: 1303.3060 · arxiv_version: 1303.3060v1 · doi: 10.48550/arxiv.1303.3060 · pith_short_12: UZSM5RMYPXMX · pith_short_16: UZSM5RMYPXMXM24Q · pith_short_8: UZSM5RMY

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/UZSM5RMYPXMXM24Q46TA4AWXH6 \
  | 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: a664cec5987dd9766b90e7a60e02d73fb5381cc9b60df5837dbc22afe6177f25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a26eb4e64b1636ff4fa8663191c1a44042602ed70d141bc432e8a667731df77c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-03-12T23:50:15Z",
    "title_canon_sha256": "a50e325b67730495a046e49d336b501f27827299e822bf4fbb95c907be25dc0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3060",
    "kind": "arxiv",
    "version": 1
  }
}