Pith Number

pith:WW4AW5PG

pith:2026:WW4AW5PGVORNKLP7FLDO3QQC6Y

not attested not anchored not stored refs pending

Irreducible Geometry of Higher-Order Correlator Families

Kaito Kobayashi

arxiv:2607.08761 v1 · 2026-07-09 · quant-ph · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WW4AW5PGVORNKLP7FLDO3QQC6Y}

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	2026-07-10T01:19:59.523570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5b80b75e6aba2d52dff2ac6edc202f61573476e821f36a113219fe87fb2b0fd

Aliases

arxiv: 2607.08761 · arxiv_version: 2607.08761v1 · doi: 10.48550/arxiv.2607.08761 · pith_short_12: WW4AW5PGVORN · pith_short_16: WW4AW5PGVORNKLP7 · pith_short_8: WW4AW5PG

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/WW4AW5PGVORNKLP7FLDO3QQC6Y \
  | 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: b5b80b75e6aba2d52dff2ac6edc202f61573476e821f36a113219fe87fb2b0fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2deb238b946f34c502fa243f9f52be88efd018ced6de5b2e5010e795b0b3b201",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-09T17:56:23Z",
    "title_canon_sha256": "02777a985076fb0e95380353166b3dbeeef43cf5b732f0429ac74cfd8e438245"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08761",
    "kind": "arxiv",
    "version": 1
  }
}