Pith Number

pith:KW6HXDF5

pith:2019:KW6HXDF5QUVBM6XGLJZZ2CU7MP

not attested not anchored not stored refs pending

A Reciprocity Relation for WP-Bailey Pairs

James Mc Laughlin, Peter Zimmer

arxiv:1901.02872 v1 · 2019-01-06 · 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{KW6HXDF5QUVBM6XGLJZZ2CU7MP}

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	2026-05-17T23:56:39.309096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55bc7b8cbd852a167ae65a739d0a9f63e30ac7450f68da8ef16ec67121fcf4f6

Aliases

arxiv: 1901.02872 · arxiv_version: 1901.02872v1 · doi: 10.48550/arxiv.1901.02872 · pith_short_12: KW6HXDF5QUVB · pith_short_16: KW6HXDF5QUVBM6XG · pith_short_8: KW6HXDF5

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/KW6HXDF5QUVBM6XGLJZZ2CU7MP \
  | 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: 55bc7b8cbd852a167ae65a739d0a9f63e30ac7450f68da8ef16ec67121fcf4f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d94e7ae01f23a452ef376cc9f6f5347dc5f3b9260ec2a8bbd1ffdc13befede8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-01-06T16:30:51Z",
    "title_canon_sha256": "16dccfd5ddba2f4ec3f4dfad96895fe8f68268bb6b15a75ba5dc748974325066"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.02872",
    "kind": "arxiv",
    "version": 1
  }
}