Pith Number

pith:65YW6GC5

pith:2012:65YW6GC5KOG7UBXNMWHAXZK5AJ

not attested not anchored not stored refs pending

An Application of Ptolemy's Theorem:Integral triangles with a 120 degree angle and the bisector(of the 120degree angle)also of integral length

Konstantine Zelator

arxiv:1203.2559 v1 · 2012-03-12 · 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{65YW6GC5KOG7UBXNMWHAXZK5AJ}

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	2026-05-18T04:00:16.492532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7716f185d538dfa06ed658e0be55d027974ee8864b48cc839be6ee415c16076

Aliases

arxiv: 1203.2559 · arxiv_version: 1203.2559v1 · doi: 10.48550/arxiv.1203.2559 · pith_short_12: 65YW6GC5KOG7 · pith_short_16: 65YW6GC5KOG7UBXN · pith_short_8: 65YW6GC5

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/65YW6GC5KOG7UBXNMWHAXZK5AJ \
  | 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: f7716f185d538dfa06ed658e0be55d027974ee8864b48cc839be6ee415c16076

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77e285a33f86a54d135637666ce52630889684267f350ba8e25d2a4a2e7d8aeb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2012-03-12T17:19:52Z",
    "title_canon_sha256": "4e8040e700005571f42c39ba7f5fabbc9e5d8414599be4562c29e19a95185962"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2559",
    "kind": "arxiv",
    "version": 1
  }
}