Pith Number

pith:XFWVDBUE

pith:2010:XFWVDBUELFA7MVLZBOHZREG6UW

not attested not anchored not stored refs pending

Bernoulli--Dedekind Sums

Anastasia Chavez, Matthias Beck

arxiv:1008.0038 v1 · 2010-07-31 · 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{XFWVDBUELFA7MVLZBOHZREG6UW}

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	2026-05-18T03:11:24.323443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b96d5186845941f655790b8f9890dea5ba1453814c0fb44491a873c39cf7c9be

Aliases

arxiv: 1008.0038 · arxiv_version: 1008.0038v1 · doi: 10.48550/arxiv.1008.0038 · pith_short_12: XFWVDBUELFA7 · pith_short_16: XFWVDBUELFA7MVLZ · pith_short_8: XFWVDBUE

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/XFWVDBUELFA7MVLZBOHZREG6UW \
  | 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: b96d5186845941f655790b8f9890dea5ba1453814c0fb44491a873c39cf7c9be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "518b0b449a8f65eb4787bdd2ffd5b027ddf6ca85526dae9428e5406b13be5374",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-07-31T00:47:07Z",
    "title_canon_sha256": "9f70ec35d1726b6f799fde0a6c6ccaa02843e43a0e21839abd94c7bf26593640"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0038",
    "kind": "arxiv",
    "version": 1
  }
}