Pith Number

pith:QSNJMAJA

pith:2010:QSNJMAJABXE5IFQRRZ4PI7PL55

not attested not anchored not stored refs pending

On the Mellin transforms of powers of Hardy's function

Aleksandar Ivi\'c

arxiv:1001.1824 v3 · 2010-01-12 · 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{QSNJMAJABXE5IFQRRZ4PI7PL55}

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	2026-05-18T04:36:18.745964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

849a9601200dc9d416118e78f47debef47992f83b298c9b921391466eaa1369e

Aliases

arxiv: 1001.1824 · arxiv_version: 1001.1824v3 · doi: 10.48550/arxiv.1001.1824 · pith_short_12: QSNJMAJABXE5 · pith_short_16: QSNJMAJABXE5IFQR · pith_short_8: QSNJMAJA

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/QSNJMAJABXE5IFQRRZ4PI7PL55 \
  | 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: 849a9601200dc9d416118e78f47debef47992f83b298c9b921391466eaa1369e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb1fcc6b860ee4101b42cdc10223026ea190ebdaee04b1f8ffbc677d40af6b6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-01-12T09:07:03Z",
    "title_canon_sha256": "9c2561d4c7f45b8b239e9ada7a01ee3e7da284c017f44e6abb3ea77f1d840eec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1824",
    "kind": "arxiv",
    "version": 3
  }
}