Pith Number

pith:36W6OSGW

pith:2015:36W6OSGW5X6IMAXMLCPHQJ6PFP

not attested not anchored not stored refs pending

On the Fourier coefficients of negative index meromorphic Jacobi forms

Kathrin Bringmann, Larry Rolen, Sander Zwegers

arxiv:1501.04476 v5 · 2015-01-19 · math.NT · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{36W6OSGW5X6IMAXMLCPHQJ6PFP}

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	2026-05-18T01:23:58.667758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfade748d6edfc8602ec589e7827cf2bf800593e1f409b77a1704531a6296845

Aliases

arxiv: 1501.04476 · arxiv_version: 1501.04476v5 · doi: 10.48550/arxiv.1501.04476 · pith_short_12: 36W6OSGW5X6I · pith_short_16: 36W6OSGW5X6IMAXM · pith_short_8: 36W6OSGW

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/36W6OSGW5X6IMAXMLCPHQJ6PFP \
  | 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: dfade748d6edfc8602ec589e7827cf2bf800593e1f409b77a1704531a6296845

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9efc3688d954a0e7b1249f1ec59257c08f77a7de7d849b0a7492d74c81c1e8d",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-01-19T12:39:45Z",
    "title_canon_sha256": "6b5034f243ae28cbd5010647bdd1981f47305ee01cb0e463c08979a25a2f4c14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04476",
    "kind": "arxiv",
    "version": 5
  }
}