Pith Number

pith:SBALD7FK

pith:2017:SBALD7FK264ZMNIJ223BPBFXXK

not attested not anchored not stored refs pending

On Bipartite Operators Defined by Completely Different Permutations

Dariusz Chru\'sci\'nski, Gniewomir Sarbicki, Marek Mozrzymas

arxiv:1712.03277 v1 · 2017-12-08 · 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{SBALD7FK264ZMNIJ223BPBFXXK}

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	2026-05-18T00:28:21.791032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9040b1fcaad7b9963509d6b61784b7ba978b840fdd5da3c02c9d6aa4ce2a8ae9

Aliases

arxiv: 1712.03277 · arxiv_version: 1712.03277v1 · doi: 10.48550/arxiv.1712.03277 · pith_short_12: SBALD7FK264Z · pith_short_16: SBALD7FK264ZMNIJ · pith_short_8: SBALD7FK

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/SBALD7FK264ZMNIJ223BPBFXXK \
  | 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: 9040b1fcaad7b9963509d6b61784b7ba978b840fdd5da3c02c9d6aa4ce2a8ae9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "039041519f6a421a333a8e0736061933ee81d68b2e37f2f80416585dd33781c5",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-12-08T20:41:20Z",
    "title_canon_sha256": "d457b11f805600f7cf48604da5dff50dedece4fb28b684ae96cd35a2c4ac8a63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03277",
    "kind": "arxiv",
    "version": 1
  }
}