Pith Number

pith:XVY27UWP

pith:2016:XVY27UWPAR6AWM75BICP55R4EG

not attested not anchored not stored refs pending

On Fourier coefficients of modular forms of half integral weight at squarefree integers

Emmanuel Royer (LMBP), J Wu (IECL), Y.-J Jiang (TELECOM), Y.-K Lau

arxiv:1602.08924 v2 · 2016-02-29 · 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{XVY27UWPAR6AWM75BICP55R4EG}

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	2026-05-18T01:16:34.606421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd71afd2cf047c0b33fd0a04fef63c2180d310388c6992a6d55fb08234132549

Aliases

arxiv: 1602.08924 · arxiv_version: 1602.08924v2 · doi: 10.48550/arxiv.1602.08924 · pith_short_12: XVY27UWPAR6A · pith_short_16: XVY27UWPAR6AWM75 · pith_short_8: XVY27UWP

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/XVY27UWPAR6AWM75BICP55R4EG \
  | 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: bd71afd2cf047c0b33fd0a04fef63c2180d310388c6992a6d55fb08234132549

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b904b58a3320616b7ed33e6900648d14ee4b79cf0c42d0c0ac95aea3155e933",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-29T12:03:21Z",
    "title_canon_sha256": "69dfba5d6bc2fb1adb80eabbb5044013aef8000d65c8963caeda4ccad660cbd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08924",
    "kind": "arxiv",
    "version": 2
  }
}