Pith Number

pith:2ODQRDU5

pith:2022:2ODQRDU5KQZTMB3IROZBMPJRJI

not attested not anchored not stored refs pending

Fast Computation of Generalized Dedekind Sums

Jessica Wang, Preston Tranbarger

arxiv:2210.01172 v1 · 2022-10-03 · 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{2ODQRDU5KQZTMB3IROZBMPJRJI}

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	2026-07-05T05:03:08.006064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d387088e9d54333607688bb2163d314a14861e0dee84d90a1bd5283cfe85bdca

Aliases

arxiv: 2210.01172 · arxiv_version: 2210.01172v1 · doi: 10.48550/arxiv.2210.01172 · pith_short_12: 2ODQRDU5KQZT · pith_short_16: 2ODQRDU5KQZTMB3I · pith_short_8: 2ODQRDU5

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/2ODQRDU5KQZTMB3IROZBMPJRJI \
  | 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: d387088e9d54333607688bb2163d314a14861e0dee84d90a1bd5283cfe85bdca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6a65b43155d1839eb1315532a5969066f4ebbb3a893026fdd853e28e1c141b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-10-03T18:40:04Z",
    "title_canon_sha256": "de20c78b127709a76d3d40708583af905ada058d97290b9c7666a6f6e49705cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.01172",
    "kind": "arxiv",
    "version": 1
  }
}