Pith Number

pith:CS6EFZ2R

pith:2009:CS6EFZ2RCPX3T6KOTOHWRFGD26

not attested not anchored not stored refs pending

A Tauberian theorem for Ingham summation method

Vytas Zacharovas

arxiv:0907.4534 v2 · 2009-07-27 · 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{CS6EFZ2RCPX3T6KOTOHWRFGD26}

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	2026-05-18T04:24:43.979171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14bc42e75113efb9f94e9b8f6894c3d7af037355a03da32bd8c5c77a1114169f

Aliases

arxiv: 0907.4534 · arxiv_version: 0907.4534v2 · doi: 10.48550/arxiv.0907.4534 · pith_short_12: CS6EFZ2RCPX3 · pith_short_16: CS6EFZ2RCPX3T6KO · pith_short_8: CS6EFZ2R

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/CS6EFZ2RCPX3T6KOTOHWRFGD26 \
  | 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: 14bc42e75113efb9f94e9b8f6894c3d7af037355a03da32bd8c5c77a1114169f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90d11816b6f3a8a412889b999f2967347660fbb911481ab174e8fcb0a27c4e53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-07-27T01:32:14Z",
    "title_canon_sha256": "cf296b839f09911b51d1fd5bf5230494e418d0b132e0cfc70978b84d99782e2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4534",
    "kind": "arxiv",
    "version": 2
  }
}