Pith Number

pith:CKNZK5LK

pith:2014:CKNZK5LKN3Z2RD4QKHT6HANEWC

not attested not anchored not stored refs pending

On $\alpha$-embedded subsets of products

Olena Karlova, Volodymyr Mykhaylyuk

arxiv:1411.3173 v1 · 2014-11-12 · 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{CKNZK5LKN3Z2RD4QKHT6HANEWC}

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	2026-05-18T02:30:07.732360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

129b95756a6ef3a88f9051e7e381a4b08219e7994832a3d2e32ede56f154d1a2

Aliases

arxiv: 1411.3173 · arxiv_version: 1411.3173v1 · doi: 10.48550/arxiv.1411.3173 · pith_short_12: CKNZK5LKN3Z2 · pith_short_16: CKNZK5LKN3Z2RD4Q · pith_short_8: CKNZK5LK

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/CKNZK5LKN3Z2RD4QKHT6HANEWC \
  | 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: 129b95756a6ef3a88f9051e7e381a4b08219e7994832a3d2e32ede56f154d1a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7baaf2663e4ab8370b3769ee192ac702962d5aa37a48fd80a1af186cad42677",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2014-11-12T13:42:44Z",
    "title_canon_sha256": "6bd74711800f441b95ce34169235f5892e2ecb55cd961515ed29e16746d712a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3173",
    "kind": "arxiv",
    "version": 1
  }
}