Pith Number

pith:YA7WY6VB

pith:2013:YA7WY6VBYPEA2VED4WNN3JIGO3

not attested not anchored not stored refs pending

Fourier coefficients of sextic theta series

Jeff Hoffstein, Reinier Broker

arxiv:1312.0568 v1 · 2013-12-02 · 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{YA7WY6VBYPEA2VED4WNN3JIGO3}

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	2026-05-18T03:05:45.363280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c03f6c7aa1c3c80d5483e59adda50676d1372813a9de27c5dae46341471b775e

Aliases

arxiv: 1312.0568 · arxiv_version: 1312.0568v1 · doi: 10.48550/arxiv.1312.0568 · pith_short_12: YA7WY6VBYPEA · pith_short_16: YA7WY6VBYPEA2VED · pith_short_8: YA7WY6VB

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/YA7WY6VBYPEA2VED4WNN3JIGO3 \
  | 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: c03f6c7aa1c3c80d5483e59adda50676d1372813a9de27c5dae46341471b775e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47b8b93f7780daae80fd531f0b36ff78309bd261a614852d5bce846a1497c010",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-02T19:57:05Z",
    "title_canon_sha256": "2de45e95e27d09101b188d44fe090db387d8ce0787efa27ff731757aac96a85b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0568",
    "kind": "arxiv",
    "version": 1
  }
}