Pith Number

pith:VA27LS4J

pith:2016:VA27LS4JDL6WR6YJ272CBJENQ4

not attested not anchored not stored refs pending

A projective analogue of Napoleon's and Varignon's theorems

Quang-Nhat Le

arxiv:1609.04513 v2 · 2016-09-15 · math.MG · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VA27LS4JDL6WR6YJ272CBJENQ4}

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	2026-05-18T01:04:17.186196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a835f5cb891afd68fb09d7f420a48d8720db6f876d8db4734a81cda690415f4a

Aliases

arxiv: 1609.04513 · arxiv_version: 1609.04513v2 · doi: 10.48550/arxiv.1609.04513 · pith_short_12: VA27LS4JDL6W · pith_short_16: VA27LS4JDL6WR6YJ · pith_short_8: VA27LS4J

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/VA27LS4JDL6WR6YJ272CBJENQ4 \
  | 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: a835f5cb891afd68fb09d7f420a48d8720db6f876d8db4734a81cda690415f4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66671aad5a170131300069d8f0ddaf26ce630d94f8f532f280bc9c724b07afd3",
    "cross_cats_sorted": [
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-09-15T05:15:15Z",
    "title_canon_sha256": "97cc40e92192214aa182a481da14d41da1fca20ba57905f47df95877196ecbe9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04513",
    "kind": "arxiv",
    "version": 2
  }
}