Pith Number

pith:6QDLT6WE

pith:2006:6QDLT6WEHWCIUC6ZOYBY6LYG25

not attested not anchored not stored refs pending

Computable Closed Euclidean Subsets with and without Computable Points

Martin Ziegler, St\'ephane Le Roux

arxiv:cs/0610080 v5 · 2006-10-13 · cs.LO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6QDLT6WEHWCIUC6ZOYBY6LYG25}

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	2026-05-18T04:16:21.750037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f406b9fac43d848a0bd976038f2f06d77de0be98ad76bb087a3d078bbba26670

Aliases

arxiv: cs/0610080 · arxiv_version: cs/0610080v5 · doi: 10.48550/arxiv.cs/0610080 · pith_short_12: 6QDLT6WEHWCI · pith_short_16: 6QDLT6WEHWCIUC6Z · pith_short_8: 6QDLT6WE

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/6QDLT6WEHWCIUC6ZOYBY6LYG25 \
  | 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: f406b9fac43d848a0bd976038f2f06d77de0be98ad76bb087a3d078bbba26670

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3492980132283a9c94536c77ce0f54344ac18284f5a90e8aaa8067170b4e59c",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "",
    "primary_cat": "cs.LO",
    "submitted_at": "2006-10-13T07:45:05Z",
    "title_canon_sha256": "60f8c75ba46be470f7bf16338148ee0480725167632fc1230caf1bbe5ff8ca22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0610080",
    "kind": "arxiv",
    "version": 5
  }
}