Pith Number

pith:63HHF2N4

pith:2010:63HHF2N4NYOJPAGDWULBVVGKO3

not attested not anchored not stored refs pending

Kernels for products of L-functions

Cormac O'Sullivan, Nikolaos Diamantis

arxiv:1009.1067 v3 · 2010-09-06 · 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{63HHF2N4NYOJPAGDWULBVVGKO3}

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	2026-05-18T01:22:29.274252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6ce72e9bc6e1c9780c3b5161ad4ca76f282c9015fcc7a69a77ae0436d952186

Aliases

arxiv: 1009.1067 · arxiv_version: 1009.1067v3 · doi: 10.48550/arxiv.1009.1067 · pith_short_12: 63HHF2N4NYOJ · pith_short_16: 63HHF2N4NYOJPAGD · pith_short_8: 63HHF2N4

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/63HHF2N4NYOJPAGDWULBVVGKO3 \
  | 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: f6ce72e9bc6e1c9780c3b5161ad4ca76f282c9015fcc7a69a77ae0436d952186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e9279381b4da0b0bec61f2baf2b51938ed9a5a1dd93be57c3d4b04730b3e1d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-09-06T14:12:18Z",
    "title_canon_sha256": "9b2fd87029b9be0d8eb58b871ac6bec429c2df58a0774557aff0a02bc2b664a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1067",
    "kind": "arxiv",
    "version": 3
  }
}