Pith Number

pith:JOL2VFGL

pith:2015:JOL2VFGLCVCIM4MOLPKFYGPYAJ

not attested not anchored not stored refs pending

On the modularity of certain functions from the Gromov-Witten theory of elliptic orbifolds

Kathrin Bringmann, Larry Rolen, Sander Zwegers

arxiv:1506.07833 v3 · 2015-06-25 · 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{JOL2VFGLCVCIM4MOLPKFYGPYAJ}

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	2026-05-18T01:31:13.555432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b97aa94cb154486718e5bd45c19f8026f9a0d709039b904d597df093925b2b6

Aliases

arxiv: 1506.07833 · arxiv_version: 1506.07833v3 · doi: 10.48550/arxiv.1506.07833 · pith_short_12: JOL2VFGLCVCI · pith_short_16: JOL2VFGLCVCIM4MO · pith_short_8: JOL2VFGL

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/JOL2VFGLCVCIM4MOLPKFYGPYAJ \
  | 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: 4b97aa94cb154486718e5bd45c19f8026f9a0d709039b904d597df093925b2b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2a22e2a79219ce109be0dc3c444f18bbf5e1088e59b01c7418cce66994547a6",
    "cross_cats_sorted": [
      "math.DG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-25T17:53:00Z",
    "title_canon_sha256": "71206369645f1abd89a1fe338354b3bfbef9ceade1c1137182b0816ff5eb4018"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07833",
    "kind": "arxiv",
    "version": 3
  }
}