Pith Number

pith:RQBT4KJK

pith:2017:RQBT4KJKEWGP544T4GI3EYNUUP

not attested not anchored not stored refs pending

On LS-category and topological complexity of connected sum

Alexander Dranishnikov, Rustam Sadykov

arxiv:1707.07088 v1 · 2017-07-22 · math.AT · 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{RQBT4KJKEWGP544T4GI3EYNUUP}

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	2026-05-18T00:39:45.393680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c033e292a258cfef393e191b261b4a3c81b1c3c84ff6d2b34db28e696190542

Aliases

arxiv: 1707.07088 · arxiv_version: 1707.07088v1 · doi: 10.48550/arxiv.1707.07088 · pith_short_12: RQBT4KJKEWGP · pith_short_16: RQBT4KJKEWGP544T · pith_short_8: RQBT4KJK

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/RQBT4KJKEWGP544T4GI3EYNUUP \
  | 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: 8c033e292a258cfef393e191b261b4a3c81b1c3c84ff6d2b34db28e696190542

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "798c98f32073be7d8f9583fd08d9be59097be693fb8144505caf93356c37f9d8",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-07-22T02:14:22Z",
    "title_canon_sha256": "bf82c58813b1df152616c0608c837fb7c67a0166c0b4301296b7eecbdcacc597"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07088",
    "kind": "arxiv",
    "version": 1
  }
}