Pith Number

pith:HRX4YHDB

pith:2013:HRX4YHDBSR5XQDYUHLNAXPRSZ2

not attested not anchored not stored refs pending

Ramanujan's $_1\psi_1$ summation theorem --- perspective, announcement of bilateral $q$-Dixon--Anderson and $q$-Selberg integral extensions, and context

Masahiko Ito, Peter J. Forrester

arxiv:1308.6665 v1 · 2013-08-30 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HRX4YHDBSR5XQDYUHLNAXPRSZ2}

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	2026-05-18T01:37:47.630491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c6fcc1c61947b780f143ada0bbe32cea5867e30aef68f34ed7bcbf8679d9cd3

Aliases

arxiv: 1308.6665 · arxiv_version: 1308.6665v1 · doi: 10.48550/arxiv.1308.6665 · pith_short_12: HRX4YHDBSR5X · pith_short_16: HRX4YHDBSR5XQDYU · pith_short_8: HRX4YHDB

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/HRX4YHDBSR5XQDYUHLNAXPRSZ2 \
  | 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: 3c6fcc1c61947b780f143ada0bbe32cea5867e30aef68f34ed7bcbf8679d9cd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d85f0b166e6cef94152d2cd40aa62d4faf95e9115e35b387bafe0a925c95509e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-08-30T07:29:15Z",
    "title_canon_sha256": "7720213d33134c9e0690d1a13363aa3bf2c6fb7037c5ffc9656bbfd0c74ec762"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6665",
    "kind": "arxiv",
    "version": 1
  }
}