Pith Number

pith:SNGOI4SS

pith:2005:SNGOI4SSWPDE6BCO3OTX7CEN4G

not attested not anchored not stored refs pending

Integral representations of q-analogues of the Hurwitz zeta function

Masato Wakayama, Yoshinori Yamasaki

arxiv:math/0503120 v2 · 2005-03-07 · 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{SNGOI4SSWPDE6BCO3OTX7CEN4G}

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	2026-05-18T03:39:03.920512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

934ce47252b3c64f044edba77f888de1872b73bc2226c86bbe7f698c5c272fdd

Aliases

arxiv: math/0503120 · arxiv_version: math/0503120v2 · doi: 10.48550/arxiv.math/0503120 · pith_short_12: SNGOI4SSWPDE · pith_short_16: SNGOI4SSWPDE6BCO · pith_short_8: SNGOI4SS

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/SNGOI4SSWPDE6BCO3OTX7CEN4G \
  | 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: 934ce47252b3c64f044edba77f888de1872b73bc2226c86bbe7f698c5c272fdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "214220d3b572dc929e6824fbd6a01e0c39c288bd0f9b269f63bf8a328290a3a1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2005-03-07T12:31:05Z",
    "title_canon_sha256": "fee9ca0c53694d824e238f086b10fa08ad8299c6b29f09c4f3e0e6fdad78d6a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503120",
    "kind": "arxiv",
    "version": 2
  }
}