Pith Number

pith:BNB2ZQM2

pith:2018:BNB2ZQM2GZKN3B3PDUHJTVWG77

not attested not anchored not stored refs pending

Remarks on the theta decomposition of vector-valued Jacobi forms

Brandon Williams

arxiv:1806.03324 v3 · 2018-06-08 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BNB2ZQM2GZKN3B3PDUHJTVWG77}

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	2026-05-17T23:54:22.878784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b43acc19a3654dd876f1d0e99d6c6ffc5053f58344fc7d0be3fabd8bd0980a4

Aliases

arxiv: 1806.03324 · arxiv_version: 1806.03324v3 · doi: 10.48550/arxiv.1806.03324 · pith_short_12: BNB2ZQM2GZKN · pith_short_16: BNB2ZQM2GZKN3B3P · pith_short_8: BNB2ZQM2

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/BNB2ZQM2GZKN3B3PDUHJTVWG77 \
  | 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: 0b43acc19a3654dd876f1d0e99d6c6ffc5053f58344fc7d0be3fabd8bd0980a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8d7a7c3388e1fa3fa78679b6d6d0deab8349726a7b69cd71e6d3546fc50d7a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-06-08T19:10:03Z",
    "title_canon_sha256": "0413c9d6a1c5ff5c13704330cf36e5f10da753a468a96bc2d735fb17375d9c41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03324",
    "kind": "arxiv",
    "version": 3
  }
}