Pith Number

pith:GD2EZZ7X

pith:2018:GD2EZZ7XTQLK4LFCY6ILGJNLRN

not attested not anchored not stored refs pending

$q$-Analogues of two Ramanujan-type formulas for $1/\pi$

Ji-Cai Liu, Victor J. W. Guo

arxiv:1802.01944 v2 · 2018-02-06 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GD2EZZ7XTQLK4LFCY6ILGJNLRN}

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	2026-05-18T00:23:44.732598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30f44ce7f79c16ae2ca2c790b325ab8b5852761ec37ab886d04936eab3c62907

Aliases

arxiv: 1802.01944 · arxiv_version: 1802.01944v2 · doi: 10.48550/arxiv.1802.01944 · pith_short_12: GD2EZZ7XTQLK · pith_short_16: GD2EZZ7XTQLK4LFC · pith_short_8: GD2EZZ7X

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/GD2EZZ7XTQLK4LFCY6ILGJNLRN \
  | 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: 30f44ce7f79c16ae2ca2c790b325ab8b5852761ec37ab886d04936eab3c62907

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83c08318dccb06eac6a0b61a9af9aa742e5beeb20668c2de99070a9cbbda4a9a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-02-06T13:47:17Z",
    "title_canon_sha256": "bd3113a02eb5f0ec72908631f27de901e7a8cf6c46e913c49101b7cf8472664f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01944",
    "kind": "arxiv",
    "version": 2
  }
}