Pith Number

pith:WOPYVLB5

pith:2010:WOPYVLB5KTIAASUCPGKITQYJM2

not attested not anchored not stored refs pending

Geometry of Non-Hausdorff Spaces and Its Significance for Physics

Leszek Pysiak, Michael Heller, Wieslaw Sasin

arxiv:1007.0491 v2 · 2010-07-03 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WOPYVLB5KTIAASUCPGKITQYJM2}

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	2026-05-18T02:06:32.715874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b39f8aac3d54d0004a82799489c309668dfd6afd0b8c5de139687db78e55b0d8

Aliases

arxiv: 1007.0491 · arxiv_version: 1007.0491v2 · doi: 10.48550/arxiv.1007.0491 · pith_short_12: WOPYVLB5KTIA · pith_short_16: WOPYVLB5KTIAASUC · pith_short_8: WOPYVLB5

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/WOPYVLB5KTIAASUCPGKITQYJM2 \
  | 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: b39f8aac3d54d0004a82799489c309668dfd6afd0b8c5de139687db78e55b0d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56100b1ec58db69b3d078fc8b9cb864d0df94d99e34317f27cd78adb0e8af1da",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-07-03T10:31:43Z",
    "title_canon_sha256": "29933ad2760bfd78b36adee573fdca1fbdfd0b6c3eb37f3595481343cf369872"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0491",
    "kind": "arxiv",
    "version": 2
  }
}