Pith Number

pith:QBP6F5WS

pith:2010:QBP6F5WS7RH55MOXZGW7I3PR7J

not attested not anchored not stored refs pending

On Greenberg's $L$-invariant of the symmetric sixth power of an ordinary cusp form

Robert Harron

arxiv:1007.2213 v1 · 2010-07-13 · 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{QBP6F5WS7RH55MOXZGW7I3PR7J}

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	2026-05-17T23:53:19.686025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

805fe2f6d2fc4fdeb1d7c9adf46df1fa556a1f28267af9a7829912e3e34a459d

Aliases

arxiv: 1007.2213 · arxiv_version: 1007.2213v1 · doi: 10.48550/arxiv.1007.2213 · pith_short_12: QBP6F5WS7RH5 · pith_short_16: QBP6F5WS7RH55MOX · pith_short_8: QBP6F5WS

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/QBP6F5WS7RH55MOXZGW7I3PR7J \
  | 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: 805fe2f6d2fc4fdeb1d7c9adf46df1fa556a1f28267af9a7829912e3e34a459d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cd127801ecdd534cd3bb5d3bdbfb88faf127ff9b206044003da48a08bea6e84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-07-13T21:56:12Z",
    "title_canon_sha256": "97bfbeac7b8ecc613dc5cafa0c88b521177eeef223237620a51c3ad993ce99a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2213",
    "kind": "arxiv",
    "version": 1
  }
}