Pith Number

pith:5MJO2AJK

pith:2019:5MJO2AJKRQYKYTSJJPMGGJNUJQ

not attested not anchored not stored refs pending

Rank two false theta functions and Jacobi forms of negative definite matrix index

Antun Milas, Jonas Kaszian, Kathrin Bringmann, Sander Zwegers

arxiv:1902.10554 v1 · 2019-02-27 · 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{5MJO2AJKRQYKYTSJJPMGGJNUJQ}

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	2026-05-17T23:52:30.546330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb12ed012a8c30ac4e494bd86325b44c3e3a55f26c5159e4a60add6e1a1dcd5c

Aliases

arxiv: 1902.10554 · arxiv_version: 1902.10554v1 · doi: 10.48550/arxiv.1902.10554 · pith_short_12: 5MJO2AJKRQYK · pith_short_16: 5MJO2AJKRQYKYTSJ · pith_short_8: 5MJO2AJK

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/5MJO2AJKRQYKYTSJJPMGGJNUJQ \
  | 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: eb12ed012a8c30ac4e494bd86325b44c3e3a55f26c5159e4a60add6e1a1dcd5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a96593dc13824eee28cf029cc85e7c753d4c9c584498f77e28b148f2cf355e6e",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-02-27T14:32:02Z",
    "title_canon_sha256": "9c677eb316f01315cccc32c72e3be34bda7c5bfc32ec92c322fa1060f53c1139"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.10554",
    "kind": "arxiv",
    "version": 1
  }
}