Pith Number

pith:VXSDQDDW

pith:2014:VXSDQDDWNJMTBGZKOWAGAROSWD

not attested not anchored not stored refs pending

A Curious Congruence Involving Alternating Harmonic Sums

Liuquan Wang

arxiv:1407.5789 v1 · 2014-07-22 · 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{VXSDQDDWNJMTBGZKOWAGAROSWD}

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	2026-05-18T02:47:06.619079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ade4380c766a59309b2a75806045d2b0e6af73faa20eae098876821682ad9455

Aliases

arxiv: 1407.5789 · arxiv_version: 1407.5789v1 · doi: 10.48550/arxiv.1407.5789 · pith_short_12: VXSDQDDWNJMT · pith_short_16: VXSDQDDWNJMTBGZK · pith_short_8: VXSDQDDW

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/VXSDQDDWNJMTBGZKOWAGAROSWD \
  | 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: ade4380c766a59309b2a75806045d2b0e6af73faa20eae098876821682ad9455

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4ae9afdbd45a3fbdf9752756ccba16f3c51c8a3bc5ac16fbf80541c52b2329a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-22T09:04:24Z",
    "title_canon_sha256": "ccd94f2fed1f1bb8481509649f8772ca5e4b6a0b8a2615ec7fefd07cb755b975"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5789",
    "kind": "arxiv",
    "version": 1
  }
}