Pith Number

pith:XPLKI6DO

pith:2019:XPLKI6DO5DOHVXGJVE4TIVV7ZM

not attested not anchored not stored refs pending

A Framework for Modular Properties of False Theta Functions

Caner Nazaroglu, Kathrin Bringmann

arxiv:1904.05377 v1 · 2019-04-10 · math.NT · hep-th · math.CO · 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{XPLKI6DO5DOHVXGJVE4TIVV7ZM}

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	2026-05-17T23:48:49.728542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbd6a4786ee8dc7adcc9a9393456bfcb03a4d8f58c0728f5378e97570b4b1b21

Aliases

arxiv: 1904.05377 · arxiv_version: 1904.05377v1 · doi: 10.48550/arxiv.1904.05377 · pith_short_12: XPLKI6DO5DOH · pith_short_16: XPLKI6DO5DOHVXGJ · pith_short_8: XPLKI6DO

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/XPLKI6DO5DOHVXGJVE4TIVV7ZM \
  | 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: bbd6a4786ee8dc7adcc9a9393456bfcb03a4d8f58c0728f5378e97570b4b1b21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e078762ff7851900f08a70951f04127ef2a32b1a13225e0956c7b40a831dabf",
    "cross_cats_sorted": [
      "hep-th",
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-04-10T18:13:21Z",
    "title_canon_sha256": "5eb78534792b84ddcb2b6fccacac5550e8bf1294169605377c7b7eb1b780a754"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.05377",
    "kind": "arxiv",
    "version": 1
  }
}