Pith Number

pith:6XBSTXOU

pith:2018:6XBSTXOU22XP45KBTZ7FFXIQ35

not attested not anchored not stored refs pending

Lacunarity of Han-Nekrasov-Okounkov $q$-series

Katherine Gallagher, Katja Vassilev, Lucia Li

arxiv:1807.04576 v2 · 2018-07-12 · 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{6XBSTXOU22XP45KBTZ7FFXIQ35}

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	2026-05-18T00:10:44.172641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5c329ddd4d6aefe75419e7e52dd10df7d855682414fde0829d549d979b12846

Aliases

arxiv: 1807.04576 · arxiv_version: 1807.04576v2 · doi: 10.48550/arxiv.1807.04576 · pith_short_12: 6XBSTXOU22XP · pith_short_16: 6XBSTXOU22XP45KB · pith_short_8: 6XBSTXOU

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/6XBSTXOU22XP45KBTZ7FFXIQ35 \
  | 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: f5c329ddd4d6aefe75419e7e52dd10df7d855682414fde0829d549d979b12846

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4f1d947b560c9d78fa245e3d28ef3893bb6bde8aaffe72a8d53144925a11c62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-12T12:39:41Z",
    "title_canon_sha256": "e8a086b50c597a283a77c6b3c508049417dd4792ef0e06169c239931afaddd4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04576",
    "kind": "arxiv",
    "version": 2
  }
}