Pith Number

pith:VXPFU3C7

pith:2013:VXPFU3C72NHWBVW3K2VV53WPGM

not attested not anchored not stored refs pending

Whittaker-Fourier coefficients of cusp forms on $\widetilde{Sp}_n$: reduction to a local statement

Erez Lapid, Zhengyu Mao

arxiv:1401.0198 v3 · 2013-12-31 · 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{VXPFU3C72NHWBVW3K2VV53WPGM}

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	2026-05-18T00:05:08.226950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adde5a6c5fd34f60d6db56ab5eeecf333fcc9035dd869d28246bfa561475ceb7

Aliases

arxiv: 1401.0198 · arxiv_version: 1401.0198v3 · doi: 10.48550/arxiv.1401.0198 · pith_short_12: VXPFU3C72NHW · pith_short_16: VXPFU3C72NHWBVW3 · pith_short_8: VXPFU3C7

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/VXPFU3C72NHWBVW3K2VV53WPGM \
  | 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: adde5a6c5fd34f60d6db56ab5eeecf333fcc9035dd869d28246bfa561475ceb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e544bbf12c257b99ff3ae4b40ac832c3004b0c0a69ae4c2b5afd7c927d01cf9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-31T17:42:42Z",
    "title_canon_sha256": "e5ca74fd1df10b58d0055469d858d34bd627627f5124421ae078a6d37238a678"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0198",
    "kind": "arxiv",
    "version": 3
  }
}