Pith Number

pith:7LDBO5EW

pith:2013:7LDBO5EWD6SYSYQB6CLADWUYSQ

not attested not anchored not stored refs pending

Functional equations for double series of Euler type with coefficients

Kohji Matsumoto, YoungJu Choie

arxiv:1306.0987 v2 · 2013-06-05 · 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{7LDBO5EWD6SYSYQB6CLADWUYSQ}

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	2026-05-18T02:56:52.005982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fac61774961fa5896201f09601da98943b673d07d26a41e031274fff51b78067

Aliases

arxiv: 1306.0987 · arxiv_version: 1306.0987v2 · doi: 10.48550/arxiv.1306.0987 · pith_short_12: 7LDBO5EWD6SY · pith_short_16: 7LDBO5EWD6SYSYQB · pith_short_8: 7LDBO5EW

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/7LDBO5EWD6SYSYQB6CLADWUYSQ \
  | 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: fac61774961fa5896201f09601da98943b673d07d26a41e031274fff51b78067

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b09d609d40ace432311c2f56b24c3621308bf7300a3f8fce475f2f1a8d54c028",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-05T05:30:57Z",
    "title_canon_sha256": "9d79726e86de6564e6b3431e3fad6fcc6963712c2f84f82f7691e00d245bf237"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0987",
    "kind": "arxiv",
    "version": 2
  }
}