Pith Number

pith:QI6NXCFK

pith:2011:QI6NXCFKSVQFMB55KIZVWOONQE

not attested not anchored not stored refs pending

Character analogues of Ramanujan type integrals involving the Riemann $\Xi$-function

Atul Dixit

arxiv:1102.2680 v1 · 2011-02-14 · 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{QI6NXCFKSVQFMB55KIZVWOONQE}

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	2026-05-18T04:28:46.729515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

823cdb88aa95605607bd52335b39cd811b71120ed700f880bc99f2c6bb561173

Aliases

arxiv: 1102.2680 · arxiv_version: 1102.2680v1 · doi: 10.48550/arxiv.1102.2680 · pith_short_12: QI6NXCFKSVQF · pith_short_16: QI6NXCFKSVQFMB55 · pith_short_8: QI6NXCFK

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/QI6NXCFKSVQFMB55KIZVWOONQE \
  | 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: 823cdb88aa95605607bd52335b39cd811b71120ed700f880bc99f2c6bb561173

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7f960e805d0f26c604733804465f1063adac69c0bcd42b855575bfd2db2ede3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-14T05:56:47Z",
    "title_canon_sha256": "bf2e1edcf30531cef6da84a78d8778a24c526334c21692cb4a69316d3786c35b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2680",
    "kind": "arxiv",
    "version": 1
  }
}