Pith Number

pith:JWGUDMY2

pith:2011:JWGUDMY2EZTGCIWFQBHUNHDNDB

not attested not anchored not stored refs pending

When are two Dedekind sums equal?

Sinai Robins, Stanislav Jabuka, Xinli Wang

arxiv:1103.0370 v4 · 2011-03-02 · 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{JWGUDMY2EZTGCIWFQBHUNHDNDB}

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	2026-05-18T04:22:10.956905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d8d41b31a26666122c5804f469c6d184667d86d80eb09b035fb09605692efc5

Aliases

arxiv: 1103.0370 · arxiv_version: 1103.0370v4 · doi: 10.48550/arxiv.1103.0370 · pith_short_12: JWGUDMY2EZTG · pith_short_16: JWGUDMY2EZTGCIWF · pith_short_8: JWGUDMY2

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/JWGUDMY2EZTGCIWFQBHUNHDNDB \
  | 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: 4d8d41b31a26666122c5804f469c6d184667d86d80eb09b035fb09605692efc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fca2e925c0a3c3b16b6426a3894f4f3e79fd58514d1a31c4f577c1624c4cb30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-02T09:26:20Z",
    "title_canon_sha256": "52f8b375472abd7cbee3bd41d1451b260f3dbdaece27c9f74aa0804b3dee2c01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0370",
    "kind": "arxiv",
    "version": 4
  }
}