Pith Number

pith:XXIXJ3RR

pith:2012:XXIXJ3RRHJBNBHZP6RM5TQEJ4X

not attested not anchored not stored refs pending

On topological complexity and LS-category

Alexander Dranishnikov

arxiv:1207.7309 v2 · 2012-07-31 · 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{XXIXJ3RRHJBNBHZP6RM5TQEJ4X}

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	2026-05-18T03:48:58.449328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdd174ee313a42d09f2ff459d9c089e5ecf74377e6e916ebbdffc03f6a262964

Aliases

arxiv: 1207.7309 · arxiv_version: 1207.7309v2 · doi: 10.48550/arxiv.1207.7309 · pith_short_12: XXIXJ3RRHJBN · pith_short_16: XXIXJ3RRHJBNBHZP · pith_short_8: XXIXJ3RR

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/XXIXJ3RRHJBNBHZP6RM5TQEJ4X \
  | 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: bdd174ee313a42d09f2ff459d9c089e5ecf74377e6e916ebbdffc03f6a262964

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb7adc95c5b7f85ee6a0930e873178f7177e636cf2681c849090203a19a7859c",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-07-31T16:36:03Z",
    "title_canon_sha256": "6bb2d625141f4aecf30e681bbd07f998121723275efd82a86f887001b79220d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7309",
    "kind": "arxiv",
    "version": 2
  }
}