Pith Number

pith:T6NZTTHU

pith:2018:T6NZTTHUBQRTF7R2L2BB6GXYY4

not attested not anchored not stored refs pending

Sharp Approximations for the Ramanujan Constant

Song-Liang Qiu, Ti-Ren Huang, Xiao-Yan Ma

arxiv:1804.07712 v1 · 2018-04-20 · 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{T6NZTTHUBQRTF7R2L2BB6GXYY4}

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	2026-05-18T00:17:56.018825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f9b99ccf40c2332fe3a5e821f1af8c71968e48e9e0eab9095267b5a718da550

Aliases

arxiv: 1804.07712 · arxiv_version: 1804.07712v1 · doi: 10.48550/arxiv.1804.07712 · pith_short_12: T6NZTTHUBQRT · pith_short_16: T6NZTTHUBQRTF7R2 · pith_short_8: T6NZTTHU

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/T6NZTTHUBQRTF7R2L2BB6GXYY4 \
  | 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: 9f9b99ccf40c2332fe3a5e821f1af8c71968e48e9e0eab9095267b5a718da550

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "732039d335472c65df04cb689054c5e0b038bf47cbe0d136ca05c3fc449b10b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-04-20T16:34:12Z",
    "title_canon_sha256": "77464b43aa30f9abbb6cf65e4c6ccdc6fda43388bb6121a948455e04af09a83b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.07712",
    "kind": "arxiv",
    "version": 1
  }
}