Pith Number

pith:SBVKJRIO

pith:2012:SBVKJRIOU2UBVZBIUGW5HRBPU2

not attested not anchored not stored refs pending

On dimensionally exotic maps

Alexander Dranishnikov, Michael Levin

arxiv:1210.2775 v1 · 2012-10-09 · math.GT · 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{SBVKJRIOU2UBVZBIUGW5HRBPU2}

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	2026-05-18T03:43:31.523758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

906aa4c50ea6a81ae428a1add3c42fa68e402a2e38ee2df3eeed0f27ea4204fe

Aliases

arxiv: 1210.2775 · arxiv_version: 1210.2775v1 · doi: 10.48550/arxiv.1210.2775 · pith_short_12: SBVKJRIOU2UB · pith_short_16: SBVKJRIOU2UBVZBI · pith_short_8: SBVKJRIO

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/SBVKJRIOU2UBVZBIUGW5HRBPU2 \
  | 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: 906aa4c50ea6a81ae428a1add3c42fa68e402a2e38ee2df3eeed0f27ea4204fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b69c87db4ba9632de92cfa74942e6f4bafd2f0a5ddf6aae4d29da80b13823580",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-10-09T23:06:03Z",
    "title_canon_sha256": "46280d2826969cfecc419bbd3e2870e8ede422af61af665339f9e37e05df96b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2775",
    "kind": "arxiv",
    "version": 1
  }
}