Pith Number

pith:YX2M3HFU

pith:2008:YX2M3HFUOMCPM6XFFLXKEDKDLQ

not attested not anchored not stored refs pending

On Hecke Eigenvalues at Piatetski-Shapiro Primes

Liangyi Zhao, Stephan Baier

arxiv:0808.1756 v3 · 2008-08-12 · 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{YX2M3HFUOMCPM6XFFLXKEDKDLQ}

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	2026-05-18T02:58:11.250038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5f4cd9cb47304f67ae52aeea20d435c1118a65732ba83af57be19cb1b3ab285

Aliases

arxiv: 0808.1756 · arxiv_version: 0808.1756v3 · doi: 10.48550/arxiv.0808.1756 · pith_short_12: YX2M3HFUOMCP · pith_short_16: YX2M3HFUOMCPM6XF · pith_short_8: YX2M3HFU

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/YX2M3HFUOMCPM6XFFLXKEDKDLQ \
  | 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: c5f4cd9cb47304f67ae52aeea20d435c1118a65732ba83af57be19cb1b3ab285

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd26e9142bdbd32b93a926e2e2d2d3c2f559bda918751a7e1e93c94b4d2a5ee9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-08-12T23:32:55Z",
    "title_canon_sha256": "dc2f8018e7c0589f39aca9e59d5f4aec8c8c2e7c414668fab83b639e365766de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.1756",
    "kind": "arxiv",
    "version": 3
  }
}