Pith Number

pith:WFRYSDVO

pith:2011:WFRYSDVOTJZAPWXOLMKSPYSCXM

not attested not anchored not stored refs pending

On the Existence of a Self-Similar Coarse Graining of a Self-Similar Space

Akihiko Kitada, Shousuke Ohmori, Tomoyuki Yamamoto, Tsuyoshi Yoshioka

arxiv:1107.4168 v1 · 2011-07-21 · 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{WFRYSDVOTJZAPWXOLMKSPYSCXM}

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	2026-05-18T04:17:13.080697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b163890eae9a7207daee5b1527e242bb3bc11b6918acaa17f4a30a574ad01203

Aliases

arxiv: 1107.4168 · arxiv_version: 1107.4168v1 · doi: 10.48550/arxiv.1107.4168 · pith_short_12: WFRYSDVOTJZA · pith_short_16: WFRYSDVOTJZAPWXO · pith_short_8: WFRYSDVO

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/WFRYSDVOTJZAPWXOLMKSPYSCXM \
  | 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: b163890eae9a7207daee5b1527e242bb3bc11b6918acaa17f4a30a574ad01203

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d91af17ec13322106ca78381ed9c69fe0379542448f95b1a2da4e9128c1a391",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-07-21T05:16:39Z",
    "title_canon_sha256": "6b68c92125561d224d31bb74d1f6cad384365a6b1c2713fb3a8feecc62573298"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4168",
    "kind": "arxiv",
    "version": 1
  }
}