Pith Number

pith:OAXHBJGV

pith:2018:OAXHBJGVMVZ7DBPDQGQSCRJAS6

not attested not anchored not stored refs pending

Lipschitz null-homotopy of mappings $S^3 \rightarrow S^2$

Aleksandr Berdnikov

arxiv:1811.02606 v3 · 2018-11-06 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OAXHBJGVMVZ7DBPDQGQSCRJAS6}

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.

Cited by

1 paper in Pith

A hardness of approximation result in metric geometry

Receipt and verification

First computed	2026-07-05T05:19:31.704743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

702e70a4d56573f185e381a1214520978a39ab7c4fccd955276632d81b6fa1b2

Aliases

arxiv: 1811.02606 · arxiv_version: 1811.02606v3 · doi: 10.48550/arxiv.1811.02606 · pith_short_12: OAXHBJGVMVZ7 · pith_short_16: OAXHBJGVMVZ7DBPD · pith_short_8: OAXHBJGV

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/OAXHBJGVMVZ7DBPDQGQSCRJAS6 \
  | 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: 702e70a4d56573f185e381a1214520978a39ab7c4fccd955276632d81b6fa1b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0889a4719a32c48a449c1d1fe549ce742e336c62b2024c664f7cfe1ec1c38e39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-11-06T19:36:32Z",
    "title_canon_sha256": "8661ee56b02b015cd8b7b2ffa1bfa8dbe362fdd98487c50716c4c0bae2248a26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02606",
    "kind": "arxiv",
    "version": 3
  }
}