Pith Number

pith:63RALXFZ

pith:2016:63RALXFZEGG2ZHECTVNO46NO7T

not attested not anchored not stored refs pending

Indefinite theta functions arising in Gromov-Witten Theory of elliptic orbifolds

Jonas Kaszian, Kathrin Bringmann, Larry Rolen

arxiv:1608.08588 v5 · 2016-08-30 · math.NT · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{63RALXFZEGG2ZHECTVNO46NO7T}

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	2026-05-18T00:26:16.662447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6e205dcb9218dac9c829d5aee79aefcea166e0e5eab4d98c9bddc5f69ee6bd4

Aliases

arxiv: 1608.08588 · arxiv_version: 1608.08588v5 · doi: 10.48550/arxiv.1608.08588 · pith_short_12: 63RALXFZEGG2 · pith_short_16: 63RALXFZEGG2ZHEC · pith_short_8: 63RALXFZ

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/63RALXFZEGG2ZHECTVNO46NO7T \
  | 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: f6e205dcb9218dac9c829d5aee79aefcea166e0e5eab4d98c9bddc5f69ee6bd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ca14892f96b58e2936a01e6ac9f8100fd985858adc5c06a9159f3b27d5644c8",
    "cross_cats_sorted": [
      "math.DG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-30T18:24:41Z",
    "title_canon_sha256": "c35d294d5e254f03101f3144ca9d1e3314fda1274c6fdf6cc358c35e1325fa61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08588",
    "kind": "arxiv",
    "version": 5
  }
}