Pith Number

pith:LOQKUXYQ

pith:2019:LOQKUXYQ6S6G5R4HP2XH2BSIEZ

not attested not anchored not stored refs pending

A combinatorial Fredholm module on self-similar sets built on $n$-cubes

Takashi Maruyama, Tatsuki Seto

arxiv:1912.05832 v4 · 2019-12-12 · math.KT · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LOQKUXYQ6S6G5R4HP2XH2BSIEZ}

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	2026-07-05T05:57:28.262194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ba0aa5f10f4bc6ec7877eae7d06482673cec8d1f7dc946866b2191c4025e2e4

Aliases

arxiv: 1912.05832 · arxiv_version: 1912.05832v4 · doi: 10.48550/arxiv.1912.05832 · pith_short_12: LOQKUXYQ6S6G · pith_short_16: LOQKUXYQ6S6G5R4H · pith_short_8: LOQKUXYQ

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/LOQKUXYQ6S6G5R4HP2XH2BSIEZ \
  | 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: 5ba0aa5f10f4bc6ec7877eae7d06482673cec8d1f7dc946866b2191c4025e2e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eecc719905ddc7c862153c66692e0cf66a256c7015a2514596309e728d1ecc49",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2019-12-12T08:43:18Z",
    "title_canon_sha256": "a31fb9e887a5960f37d9c55b16c43f54985d3be7c4d9cb9b6e7bbb21e7ea784b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.05832",
    "kind": "arxiv",
    "version": 4
  }
}