Pith Number

pith:F3UG3JFF

pith:2009:F3UG3JFFUYYFIRFVA7OXK3G6DV

not attested not anchored not stored refs pending

A note on the second moment of automorphic L-functions

H. M. Bui

arxiv:0903.4003 v3 · 2009-03-24 · 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{F3UG3JFFUYYFIRFVA7OXK3G6DV}

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	2026-05-18T03:02:44.712645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ee86da4a5a6305444b507dd756cde1d615fd603363ff2322d30c00e476c7f27

Aliases

arxiv: 0903.4003 · arxiv_version: 0903.4003v3 · doi: 10.48550/arxiv.0903.4003 · pith_short_12: F3UG3JFFUYYF · pith_short_16: F3UG3JFFUYYFIRFV · pith_short_8: F3UG3JFF

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/F3UG3JFFUYYFIRFVA7OXK3G6DV \
  | 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: 2ee86da4a5a6305444b507dd756cde1d615fd603363ff2322d30c00e476c7f27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58ebef643f2352001e56ceb01d10864ebcbe33fa6d440e8b19e909c903adcde6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-03-24T03:25:14Z",
    "title_canon_sha256": "17d65c83ccdf4c68049afc5281815096a7a5121ac61eeebbd2d7a3a481e634f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4003",
    "kind": "arxiv",
    "version": 3
  }
}