Pith Number

pith:RG2NVB2K

pith:2011:RG2NVB2KULBYK6H3QITMUCA2RM

not attested not anchored not stored refs pending

The Perpendicular Bisectors Construction, the Isoptic Point and the Simson Line of a Quadrilateral

Emmanuel Tsukerman, Olga Radko

arxiv:1112.5705 v1 · 2011-12-24 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RG2NVB2KULBYK6H3QITMUCA2RM}

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	2026-05-18T03:43:27.212555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89b4da874aa2c38578fb8226ca081a8b0c546a53cefacf6868891cf96738629b

Aliases

arxiv: 1112.5705 · arxiv_version: 1112.5705v1 · doi: 10.48550/arxiv.1112.5705 · pith_short_12: RG2NVB2KULBY · pith_short_16: RG2NVB2KULBYK6H3 · pith_short_8: RG2NVB2K

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/RG2NVB2KULBYK6H3QITMUCA2RM \
  | 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: 89b4da874aa2c38578fb8226ca081a8b0c546a53cefacf6868891cf96738629b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "205ed68517d3a2f01b5e8aee6ca89a5abbefa195cf4bc02f152d9524aa1836ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-12-24T07:55:50Z",
    "title_canon_sha256": "a2fb63cc00e6f75967f1b2a50bd19e0298e92332bcb2e3456bd4db3bdbf3c70b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5705",
    "kind": "arxiv",
    "version": 1
  }
}