Pith Number

pith:KBKIV4WB

pith:2010:KBKIV4WBHNZXUIDWMXOAVLR7YG

not attested not anchored not stored refs pending

Fourier expansions of GL(2) newforms at various cusps

Dorian Goldfeld, Joseph Hundley, Min Lee

arxiv:1009.0028 v2 · 2010-08-31 · 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{KBKIV4WBHNZXUIDWMXOAVLR7YG}

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	2026-05-18T04:41:14.938838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50548af2c13b737a207665dc0aae3fc1868dd5285871920d6b11aba6db4ad135

Aliases

arxiv: 1009.0028 · arxiv_version: 1009.0028v2 · doi: 10.48550/arxiv.1009.0028 · pith_short_12: KBKIV4WBHNZX · pith_short_16: KBKIV4WBHNZXUIDW · pith_short_8: KBKIV4WB

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/KBKIV4WBHNZXUIDWMXOAVLR7YG \
  | 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: 50548af2c13b737a207665dc0aae3fc1868dd5285871920d6b11aba6db4ad135

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c5be4060958dd20aed320713984c819e71c5d928165b13645f6a8e962eff871",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-31T20:52:26Z",
    "title_canon_sha256": "3a334ba7d2a49b6e74b9b39cb4da1811a9cd11ffd9da98f8d52373ba13ac40d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0028",
    "kind": "arxiv",
    "version": 2
  }
}