Pith Number

pith:XIB7ILKM

pith:2018:XIB7ILKMYLBYHUVKDLQPQVMEQG

not attested not anchored not stored refs pending

The level structure in quantum K-theory and mock theta functions

Ming Zhang, Yongbin Ruan

arxiv:1804.06552 v2 · 2018-04-18 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XIB7ILKMYLBYHUVKDLQPQVMEQG}

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.

Cited by

1 paper in Pith

Schubert line defects in 3d GLSMs, part II: Partial flag manifolds and parabolic quantum polynomials

Receipt and verification

First computed	2026-05-17T23:43:18.056773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba03f42d4cc2c383d2aa1ae0f8558481ad89cfe72320efc139bfd263cd459797

Aliases

arxiv: 1804.06552 · arxiv_version: 1804.06552v2 · doi: 10.48550/arxiv.1804.06552 · pith_short_12: XIB7ILKMYLBY · pith_short_16: XIB7ILKMYLBYHUVK · pith_short_8: XIB7ILKM

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/XIB7ILKMYLBYHUVKDLQPQVMEQG \
  | 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: ba03f42d4cc2c383d2aa1ae0f8558481ad89cfe72320efc139bfd263cd459797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6923306e1f5358ec1237b8700febfdf7dc269881aa2b4d36fd2c322fa3e7a474",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-04-18T04:54:34Z",
    "title_canon_sha256": "d82c4f9c8c9eb8a5e1d3c201b0b5fb29d6de4ca04f96408a92332db5891805a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06552",
    "kind": "arxiv",
    "version": 2
  }
}