Pith Number

pith:WUMQ2KVV

pith:2019:WUMQ2KVVQAPFTIAQUZJPCVIGCF

not attested not anchored not stored refs pending

Some new estimates of precision of Cusa-Huygens and Huygens approximations

Bojan Banjac, Branko Malesevic, Ling Zhu, Maja Petrovic, Marija Nenezic

arxiv:1907.00712 v3 · 2019-06-27 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WUMQ2KVVQAPFTIAQUZJPCVIGCF}

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	2026-07-04T23:51:05.536483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5190d2ab5801e59a010a652f15506115a39932c173b30a57f520e70fa42395a

Aliases

arxiv: 1907.00712 · arxiv_version: 1907.00712v3 · doi: 10.48550/arxiv.1907.00712 · pith_short_12: WUMQ2KVVQAPF · pith_short_16: WUMQ2KVVQAPFTIAQ · pith_short_8: WUMQ2KVV

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/WUMQ2KVVQAPFTIAQUZJPCVIGCF \
  | 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: b5190d2ab5801e59a010a652f15506115a39932c173b30a57f520e70fa42395a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36afa5ea168dbc9cedc741e6b422a6537589ef46d86d6b4186d4ca2697c180ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2019-06-27T05:14:30Z",
    "title_canon_sha256": "ba95dffeb9f65867bef5b781876f395049d3862472afe778b820c08da5560688"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00712",
    "kind": "arxiv",
    "version": 3
  }
}