Pith Number

pith:2WBBLZ6W

pith:2013:2WBBLZ6WA23XDTTA3OPK6PQ5YZ

not attested not anchored not stored refs pending

The algebra of generating functions for multiple divisor sums and applications to multiple zeta values

Henrik Bachmann, Ulf Kuehn

arxiv:1309.3920 v2 · 2013-09-16 · 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{2WBBLZ6WA23XDTTA3OPK6PQ5YZ}

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	2026-05-18T02:46:32.832711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d58215e7d606b771ce60db9eaf3e1dc64760fb4bb573ae9c7d0c7cae380e9f2c

Aliases

arxiv: 1309.3920 · arxiv_version: 1309.3920v2 · doi: 10.48550/arxiv.1309.3920 · pith_short_12: 2WBBLZ6WA23X · pith_short_16: 2WBBLZ6WA23XDTTA · pith_short_8: 2WBBLZ6W

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/2WBBLZ6WA23XDTTA3OPK6PQ5YZ \
  | 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: d58215e7d606b771ce60db9eaf3e1dc64760fb4bb573ae9c7d0c7cae380e9f2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b655e3846f59ad78e2343e3251c46d633fcc19e809e0c8e475504f599d0048a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-16T11:53:58Z",
    "title_canon_sha256": "647099c03f5581997fe7d66af68aa2813c7ec76c12ed922e7000a5aec1603487"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3920",
    "kind": "arxiv",
    "version": 2
  }
}