Pith Number

pith:DVC37BRD

pith:2012:DVC37BRD46WMWZ4KIBUKAO6QPG

not attested not anchored not stored refs pending

Topologically invariant \sigma-ideals on Euclidean spaces

Micha{\l} Morayne, Robert Ra{\l}owski, Szymon \.Zeberski, Taras Banakh

arxiv:1208.4823 v3 · 2012-08-23 · math.LO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DVC37BRD46WMWZ4KIBUKAO6QPG}

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	2026-05-18T01:20:18.132023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d45bf8623e7accb678a4068a03bd07981f10bf9fe10363fb48deb610282aaf7

Aliases

arxiv: 1208.4823 · arxiv_version: 1208.4823v3 · doi: 10.48550/arxiv.1208.4823 · pith_short_12: DVC37BRD46WM · pith_short_16: DVC37BRD46WMWZ4K · pith_short_8: DVC37BRD

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/DVC37BRD46WMWZ4KIBUKAO6QPG \
  | 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: 1d45bf8623e7accb678a4068a03bd07981f10bf9fe10363fb48deb610282aaf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "860729a95032fe6001894cb1dd11b39973cb54dea153ce56a58e6f7b892ee8c6",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-08-23T18:19:31Z",
    "title_canon_sha256": "5f7fa28e3249b6c001b87d9d1a7ba07a5ac9ec27ce3d0d1ae8ee3a5a4d22ed69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4823",
    "kind": "arxiv",
    "version": 3
  }
}