Pith Number

pith:DS54DZLL

pith:2017:DS54DZLLVLK6C2EIN3IU6MTM26

not attested not anchored not stored refs pending

The Bruinier--Funke pairing and the orthogonal complement of unary theta functions

Ben Kane, Siu Hang Man

arxiv:1706.07770 v1 · 2017-06-23 · 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{DS54DZLLVLK6C2EIN3IU6MTM26}

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	2026-05-18T00:41:48.259863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cbbc1e56baad5e168886ed14f326cd7946e13fa9e9751fad07cc00b375924ba

Aliases

arxiv: 1706.07770 · arxiv_version: 1706.07770v1 · doi: 10.48550/arxiv.1706.07770 · pith_short_12: DS54DZLLVLK6 · pith_short_16: DS54DZLLVLK6C2EI · pith_short_8: DS54DZLL

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/DS54DZLLVLK6C2EIN3IU6MTM26 \
  | 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: 1cbbc1e56baad5e168886ed14f326cd7946e13fa9e9751fad07cc00b375924ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73eceab5cc881ad39ef5f160522e2f90a05b82cf8eaa33bf61637d93f4d0c944",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-23T16:28:14Z",
    "title_canon_sha256": "1ab1a169baeac1cc461c4aa29d1836d17d4a75b701b391aa7ae696f72f5bea88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07770",
    "kind": "arxiv",
    "version": 1
  }
}