Pith Number

pith:AVKCQBBE

pith:2015:AVKCQBBEQZUK4PL4324QFKCW6R

not attested not anchored not stored refs pending

Existence of a space filled with an arbitrary finite number of mutually disjoint self-similar spaces

Akihiko Kitada, Shousuke Ohmori, Tomoyuki Yamamoto

arxiv:1507.06642 v1 · 2015-07-24 · math.GN · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AVKCQBBEQZUK4PL4324QFKCW6R}

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	2026-05-18T01:36:22.725850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05542804248668ae3d7cdeb902a856f450275eb6a2de648788e6705048a85ec4

Aliases

arxiv: 1507.06642 · arxiv_version: 1507.06642v1 · doi: 10.48550/arxiv.1507.06642 · pith_short_12: AVKCQBBEQZUK · pith_short_16: AVKCQBBEQZUK4PL4 · pith_short_8: AVKCQBBE

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/AVKCQBBEQZUK4PL4324QFKCW6R \
  | 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: 05542804248668ae3d7cdeb902a856f450275eb6a2de648788e6705048a85ec4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85187a2cf75e9a3b7c1d3ff58d7afdd46834032bbc84234261a8b946c8ab79e4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2015-07-24T06:12:45Z",
    "title_canon_sha256": "76354152570f4374bed9a3b58152e19e0ddd340918a1f3e81b5d144e27ab681c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06642",
    "kind": "arxiv",
    "version": 1
  }
}