Pith Number

pith:UAF7XVVN

pith:2021:UAF7XVVN3BYBPYNONUMAE5LARN

not attested not anchored not stored refs pending

$p$-adic Properties for Taylor Coefficients of Half-integral Weight Modular Forms on $\Gamma_1(4)$

Jigu Kim, Yoonjin Lee

arxiv:2109.08778 v2 · 2021-09-17 · 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{UAF7XVVN3BYBPYNONUMAE5LARN}

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	2026-07-05T04:54:46.805479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a00bfbd6add87017e1ae6d180275608b52d4f33dc6fa790e25d0d4fe7bce373d

Aliases

arxiv: 2109.08778 · arxiv_version: 2109.08778v2 · doi: 10.48550/arxiv.2109.08778 · pith_short_12: UAF7XVVN3BYB · pith_short_16: UAF7XVVN3BYBPYNO · pith_short_8: UAF7XVVN

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/UAF7XVVN3BYBPYNONUMAE5LARN \
  | 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: a00bfbd6add87017e1ae6d180275608b52d4f33dc6fa790e25d0d4fe7bce373d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce3fbcbd0804a87c796f0ea25e4fa39475c2b43229d4e1e8d9859a5937672fae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-09-17T22:47:34Z",
    "title_canon_sha256": "846164eb491546ec038bb4a69819a3df73cc34d08e3dd837958d6d215952e1b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.08778",
    "kind": "arxiv",
    "version": 2
  }
}