Pith Number

pith:LNNPWPA2

pith:2011:LNNPWPA22C7P7GRXEGBCJDFKY7

not attested not anchored not stored refs pending

On Hecke eigenvalues at primes of the form $[g(n)]$

Liangyi Zhao, Stephan Baier

arxiv:1107.1572 v1 · 2011-07-08 · 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{LNNPWPA22C7P7GRXEGBCJDFKY7}

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	2026-05-18T03:27:43.026931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b5afb3c1ad0beff9a372182248caac7d6594b4fe14831807149bf58ce8c8085

Aliases

arxiv: 1107.1572 · arxiv_version: 1107.1572v1 · doi: 10.48550/arxiv.1107.1572 · pith_short_12: LNNPWPA22C7P · pith_short_16: LNNPWPA22C7P7GRX · pith_short_8: LNNPWPA2

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/LNNPWPA22C7P7GRXEGBCJDFKY7 \
  | 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: 5b5afb3c1ad0beff9a372182248caac7d6594b4fe14831807149bf58ce8c8085

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4909b558527137dbfc963665f6f292724a4776c1f8c4d6db73652b690ab8af28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-07-08T08:09:57Z",
    "title_canon_sha256": "f1657bb145ff0bc38eaa6407621ff576a6928c9358b3cece763e718dde2ec677"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1572",
    "kind": "arxiv",
    "version": 1
  }
}