Pith Number

pith:DCAGKBKX

pith:2018:DCAGKBKX3RCIQQAX5WWN5ZIO36

not attested not anchored not stored refs pending

Dedekind Sums with Even Denominators

Michael Kural

arxiv:1801.00517 v2 · 2018-01-01 · 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{DCAGKBKX3RCIQQAX5WWN5ZIO36}

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	2026-05-17T23:57:32.371579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1880650557dc44884017edacdee50edfa8e9e0391e6f6171ac78bf03891ea95e

Aliases

arxiv: 1801.00517 · arxiv_version: 1801.00517v2 · doi: 10.48550/arxiv.1801.00517 · pith_short_12: DCAGKBKX3RCI · pith_short_16: DCAGKBKX3RCIQQAX · pith_short_8: DCAGKBKX

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/DCAGKBKX3RCIQQAX5WWN5ZIO36 \
  | 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: 1880650557dc44884017edacdee50edfa8e9e0391e6f6171ac78bf03891ea95e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81914272a48b201bd087818922487901dd59869310dd1886862e07a56e02f7fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-01T21:49:49Z",
    "title_canon_sha256": "7b5ad1e5fe5385e53d4f7420847ee69dd4f1bfe0a603e69ff0e2dd6af7fd49bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00517",
    "kind": "arxiv",
    "version": 2
  }
}