Pith Number

pith:EMAXS2C2

pith:2014:EMAXS2C2S7SQWWMUZORSJ2DTIU

not attested not anchored not stored refs pending

Equality of Dedekind sums mod $\mathbb{Z},2\mathbb{Z}$ and $4\mathbb{Z}$

Emmanuel Tsukerman

arxiv:1408.3225 v2 · 2014-08-14 · 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{EMAXS2C2S7SQWWMUZORSJ2DTIU}

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	2026-05-18T02:32:45.873353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

230179685a97e50b5994cba324e8734507029aeae97bae3466dde23f78e8dced

Aliases

arxiv: 1408.3225 · arxiv_version: 1408.3225v2 · doi: 10.48550/arxiv.1408.3225 · pith_short_12: EMAXS2C2S7SQ · pith_short_16: EMAXS2C2S7SQWWMU · pith_short_8: EMAXS2C2

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/EMAXS2C2S7SQWWMUZORSJ2DTIU \
  | 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: 230179685a97e50b5994cba324e8734507029aeae97bae3466dde23f78e8dced

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb92444a23fb7a537f691f6a2b3227c8132d140d1fc891aabb7d0009435084ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-08-14T09:07:16Z",
    "title_canon_sha256": "a18427493e8407b3346e182b52692ce683511be4e44df0648825ca8642fa9c72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3225",
    "kind": "arxiv",
    "version": 2
  }
}