Pith Number

pith:6GEX67MV

pith:2010:6GEX67MVY3S6KGPELNF2DINWYW

not attested not anchored not stored refs pending

Noncommutative rational functions, their difference-differential calculus and realizations

Dmitry S. Kaliuzhnyi-Verbovetskyi, Victor Vinnikov

arxiv:1003.0695 v2 · 2010-03-02 · math.RA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6GEX67MVY3S6KGPELNF2DINWYW}

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	2026-05-18T02:24:38.318733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1897f7d95c6e5e519e45b4ba1a1b6c5b0c9a9c1378f4bbe4ad08cdee03748ca

Aliases

arxiv: 1003.0695 · arxiv_version: 1003.0695v2 · doi: 10.48550/arxiv.1003.0695 · pith_short_12: 6GEX67MVY3S6 · pith_short_16: 6GEX67MVY3S6KGPE · pith_short_8: 6GEX67MV

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/6GEX67MVY3S6KGPELNF2DINWYW \
  | 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: f1897f7d95c6e5e519e45b4ba1a1b6c5b0c9a9c1378f4bbe4ad08cdee03748ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd66aea461341b1558fa0867d982887f892a8119f1aea5753229e300f7d88130",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-03-02T22:23:05Z",
    "title_canon_sha256": "b122fa7c98c112e845fd82364832ebc923d17e7ecc22f3e313c4d32d27b593d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0695",
    "kind": "arxiv",
    "version": 2
  }
}