Pith Number

pith:AKIIAUII

pith:2018:AKIIAUII4HTWGK2SUOYX7COJ67

not attested not anchored not stored refs pending

Dissections of strange $q$-series

Byungchan Kim, Jeremy Lovejoy, Scott Ahlgren

arxiv:1812.02922 v1 · 2018-12-07 · 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{AKIIAUII4HTWGK2SUOYX7COJ67}

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	2026-05-17T23:58:51.389261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0290805108e1e7632b52a3b17f89c9f7dfae36fccb16175e254a5f0ca0e19791

Aliases

arxiv: 1812.02922 · arxiv_version: 1812.02922v1 · doi: 10.48550/arxiv.1812.02922 · pith_short_12: AKIIAUII4HTW · pith_short_16: AKIIAUII4HTWGK2S · pith_short_8: AKIIAUII

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/AKIIAUII4HTWGK2SUOYX7COJ67 \
  | 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: 0290805108e1e7632b52a3b17f89c9f7dfae36fccb16175e254a5f0ca0e19791

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99a785b19df1c4692175ee2a04acbe2f69bf77631426031f4471c79569f8fc15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-07T05:59:29Z",
    "title_canon_sha256": "731ff4879a383597621806f31ccd3a139bd1e1d2244d5d95e45e013baf6ceadf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.02922",
    "kind": "arxiv",
    "version": 1
  }
}