Pith Number

pith:EOCV7ZXT

pith:2021:EOCV7ZXTLJAI6RFHGOZHV45HT3

not attested not anchored not stored refs pending

Matrix representation of meet-irreducible discrete copulas

Masato Kobayashi

arxiv:2108.13564 v1 · 2021-08-31 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EOCV7ZXTLJAI6RFHGOZHV45HT3}

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	2026-07-05T03:10:15.569371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23855fe6f35a408f44a733b27af3a79ec3d4360c399d410e1b5e1017aba11b8c

Aliases

arxiv: 2108.13564 · arxiv_version: 2108.13564v1 · doi: 10.48550/arxiv.2108.13564 · pith_short_12: EOCV7ZXTLJAI · pith_short_16: EOCV7ZXTLJAI6RFH · pith_short_8: EOCV7ZXT

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/EOCV7ZXTLJAI6RFHGOZHV45HT3 \
  | 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: 23855fe6f35a408f44a733b27af3a79ec3d4360c399d410e1b5e1017aba11b8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5f34f84006a191734302ee489a4a9988c4302fc61c44a7848808270f797caea",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-08-31T00:45:21Z",
    "title_canon_sha256": "2b505e14a7ebe57464e3cf8e223102685e2b68f36bcb3d33db6e4ea4150f5049"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.13564",
    "kind": "arxiv",
    "version": 1
  }
}