Pith Number

pith:3EBC5BRT

pith:2026:3EBC5BRTYVVEKGSBDFHT6GC5PV

not attested not anchored not stored refs pending

Cylinder-like Pappus's hexagon theorem in Nil geometry

Jen\H{o} Szirmai

arxiv:2606.27765 v1 · 2026-06-26 · 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{3EBC5BRTYVVEKGSBDFHT6GC5PV}

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	2026-06-29T01:14:47.777786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9022e8633c56a451a41194f3f185d7d591087b9124706fa0b8a27df0c69793a

Aliases

arxiv: 2606.27765 · arxiv_version: 2606.27765v1 · doi: 10.48550/arxiv.2606.27765 · pith_short_12: 3EBC5BRTYVVE · pith_short_16: 3EBC5BRTYVVEKGSB · pith_short_8: 3EBC5BRT

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/3EBC5BRTYVVEKGSBDFHT6GC5PV \
  | 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: d9022e8633c56a451a41194f3f185d7d591087b9124706fa0b8a27df0c69793a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14e3665cc366c3dd327ff59c80411ecc25a8f89bfb262b0b96bffeb80da405bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-06-26T06:49:06Z",
    "title_canon_sha256": "1ee092f614f2cb264b1eca20ba9e0dd6632f13d9e9ccf8e475953903dd82d5ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27765",
    "kind": "arxiv",
    "version": 1
  }
}