Pith Number

pith:QJIKGZCV

pith:2011:QJIKGZCVGVSN5DOU2NOXGSQHB5

not attested not anchored not stored refs pending

Random fields on model sets with localized dependency and their diffraction

Shinji Iizuka, Yohji Akama

arxiv:1107.4548 v2 · 2011-07-22 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QJIKGZCVGVSN5DOU2NOXGSQHB5}

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	2026-05-18T03:45:01.058552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8250a364553564de8dd4d35d734a070f7544e086fa68546c4b7b744ef6ae379a

Aliases

arxiv: 1107.4548 · arxiv_version: 1107.4548v2 · doi: 10.48550/arxiv.1107.4548 · pith_short_12: QJIKGZCVGVSN · pith_short_16: QJIKGZCVGVSN5DOU · pith_short_8: QJIKGZCV

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/QJIKGZCVGVSN5DOU2NOXGSQHB5 \
  | 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: 8250a364553564de8dd4d35d734a070f7544e086fa68546c4b7b744ef6ae379a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1bb42b2d2adf2e645cf3331daca5a8624ed7cd28f289baf7b097d258fce7790",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-07-22T15:39:57Z",
    "title_canon_sha256": "2a931d1e20a10c30badacbb2419c6af472d444b6fa68d689b616df708b7925ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4548",
    "kind": "arxiv",
    "version": 2
  }
}