Pith Number

pith:55VYV45R

pith:2014:55VYV45RAYL63XT7QQMA2YBINR

not attested not anchored not stored refs pending

A New Super Congruence Involving Multiple Harmonic Sums

Liuquan Wang

arxiv:1410.1712 v2 · 2014-10-07 · 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{55VYV45RAYL63XT7QQMA2YBINR}

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	2026-05-18T02:40:17.586260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef6b8af3b10617edde7f84180d60286c445df6b1e0f214f62969b7cbd19e5ea8

Aliases

arxiv: 1410.1712 · arxiv_version: 1410.1712v2 · doi: 10.48550/arxiv.1410.1712 · pith_short_12: 55VYV45RAYL6 · pith_short_16: 55VYV45RAYL63XT7 · pith_short_8: 55VYV45R

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/55VYV45RAYL63XT7QQMA2YBINR \
  | 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: ef6b8af3b10617edde7f84180d60286c445df6b1e0f214f62969b7cbd19e5ea8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9487330185aa66562ce02c109f158a777403ffa8f78b9855678682615f26f004",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-07T13:01:48Z",
    "title_canon_sha256": "8ccfd48d6fee0ef26eb263093684f6616f44eae840da77619bbb5bb2f42c309d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1712",
    "kind": "arxiv",
    "version": 2
  }
}