Pith Number

pith:JTAZL7NR

pith:2015:JTAZL7NRN55F2F6QTXUEQS5BKZ

not attested not anchored not stored refs pending

Sign of Fourier coefficients of modular forms of half integral weight

Emmanuel Royer (LMBP), Jie Wu, Yuk-Kam Lau

arxiv:1507.00518 v2 · 2015-07-02 · 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{JTAZL7NRN55F2F6QTXUEQS5BKZ}

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	2026-05-18T01:14:03.938324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cc195fdb16f7a5d17d09de8484ba15679ac1c7a4b2412491f91ff09d7220461

Aliases

arxiv: 1507.00518 · arxiv_version: 1507.00518v2 · doi: 10.48550/arxiv.1507.00518 · pith_short_12: JTAZL7NRN55F · pith_short_16: JTAZL7NRN55F2F6Q · pith_short_8: JTAZL7NR

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/JTAZL7NRN55F2F6QTXUEQS5BKZ \
  | 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: 4cc195fdb16f7a5d17d09de8484ba15679ac1c7a4b2412491f91ff09d7220461

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d743b64cf1979b8d8a3ef32e5a75e13d0d27dce29e6a76fbfef2d49c5a0fdafa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-02T10:54:34Z",
    "title_canon_sha256": "1c21638525537ed2843b89bf490a199d85ef1e3e331f35707d7664ce9ab7cea5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00518",
    "kind": "arxiv",
    "version": 2
  }
}