Pith Number

pith:Z4N3DMOW

pith:2015:Z4N3DMOWAX3XDZGLGBNUV6NMR2

not attested not anchored not stored refs pending

Effective topological complexity of spaces with symmetries

Marek Kaluba, Zbigniew B{\l}aszczyk

arxiv:1510.08724 v2 · 2015-10-29 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4N3DMOWAX3XDZGLGBNUV6NMR2}

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	2026-05-18T00:26:38.055309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf1bb1b1d605f771e4cb305b4af9ac8e9d9854dd61fd425ef1f83e253ed935b5

Aliases

arxiv: 1510.08724 · arxiv_version: 1510.08724v2 · doi: 10.48550/arxiv.1510.08724 · pith_short_12: Z4N3DMOWAX3X · pith_short_16: Z4N3DMOWAX3XDZGL · pith_short_8: Z4N3DMOW

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/Z4N3DMOWAX3XDZGLGBNUV6NMR2 \
  | 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: cf1bb1b1d605f771e4cb305b4af9ac8e9d9854dd61fd425ef1f83e253ed935b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5e8d470ac3d59ec0c735c717d96660f20eab9c3f521fc71b1a57b620f7b7b01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-10-29T14:53:53Z",
    "title_canon_sha256": "36f405e039aa2a7fab68b943dbf61ef8f78c856425d29f75746580299b0d79b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08724",
    "kind": "arxiv",
    "version": 2
  }
}