Pith Number

pith:KOEADO3R

pith:2017:KOEADO3R5API2RHPISQFARBRVV

not attested not anchored not stored refs pending

Higher depth quantum modular forms, multiple Eichler integrals, and $\frak{sl}_3$ false theta functions

Antun Milas, Jonas Kaszian, Kathrin Bringmann

arxiv:1704.06891 v2 · 2017-04-23 · math.NT · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KOEADO3R5API2RHPISQFARBRVV}

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	2026-05-18T00:20:52.359344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

538801bb71e81e8d44ef44a0504431ad6dd4544eb243c9e67747113ad3eb1a7a

Aliases

arxiv: 1704.06891 · arxiv_version: 1704.06891v2 · doi: 10.48550/arxiv.1704.06891 · pith_short_12: KOEADO3R5API · pith_short_16: KOEADO3R5API2RHP · pith_short_8: KOEADO3R

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/KOEADO3R5API2RHPISQFARBRVV \
  | 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: 538801bb71e81e8d44ef44a0504431ad6dd4544eb243c9e67747113ad3eb1a7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8088de61d24322138c274f7c1e7f5711940da40d65b75b39d2a0416964c4618e",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-23T08:07:42Z",
    "title_canon_sha256": "12e553beae08bb3213b72f7e11ae7509a16bc9f5d548c4b4405bde0e8e55b688"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06891",
    "kind": "arxiv",
    "version": 2
  }
}