Pith Number

pith:5BGYJLYK

pith:2014:5BGYJLYKLGND745BXUWWOSBFO6

not attested not anchored not stored refs pending

Functional equations for double series of Euler-Hurwitz-Barnes type with coefficients

Kohji Matsumoto, YoungJu Choie

arxiv:1403.1940 v1 · 2014-03-08 · 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{5BGYJLYKLGND745BXUWWOSBFO6}

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	2026-05-18T02:56:51.228462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e84d84af0a599a3ff3a1bd2d67482577b72b5b2f273d5bea47bd93d7dd0e3690

Aliases

arxiv: 1403.1940 · arxiv_version: 1403.1940v1 · doi: 10.48550/arxiv.1403.1940 · pith_short_12: 5BGYJLYKLGND · pith_short_16: 5BGYJLYKLGND745B · pith_short_8: 5BGYJLYK

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/5BGYJLYKLGND745BXUWWOSBFO6 \
  | 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: e84d84af0a599a3ff3a1bd2d67482577b72b5b2f273d5bea47bd93d7dd0e3690

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4706a01682ce3e3940f28e342a92f3fa9b82057e64175225b1d94fb5536d07a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-03-08T06:53:49Z",
    "title_canon_sha256": "89c2d202ef68fc6610c595709306e5126878083a3aa60acb76d36026be810981"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1940",
    "kind": "arxiv",
    "version": 1
  }
}