Pith Number

pith:IXVDFNU3

pith:2012:IXVDFNU3OM37UMYFESN4O2ITBV

not attested not anchored not stored refs pending

Foundations of Free Noncommutative Function Theory

Dmitry S. Kaliuzhnyi-Verbovetskyi, Victor Vinnikov

arxiv:1212.6345 v2 · 2012-12-27 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IXVDFNU3OM37UMYFESN4O2ITBV}

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	2026-05-18T02:46:32.970893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45ea32b69b7337fa3305249bc769130d46d4fa32da81b3f946578b6d4171a686

Aliases

arxiv: 1212.6345 · arxiv_version: 1212.6345v2 · doi: 10.48550/arxiv.1212.6345 · pith_short_12: IXVDFNU3OM37 · pith_short_16: IXVDFNU3OM37UMYF · pith_short_8: IXVDFNU3

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/IXVDFNU3OM37UMYFESN4O2ITBV \
  | 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: 45ea32b69b7337fa3305249bc769130d46d4fa32da81b3f946578b6d4171a686

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ee58ea54c315c0f042788555e8dfc4ad046024e750041f96e83d82122d1ec0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-12-27T11:09:50Z",
    "title_canon_sha256": "f1d9f658c01ba95812c81d1777c7fb9c5b63d029f29160c50b2492b8cd165ee2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6345",
    "kind": "arxiv",
    "version": 2
  }
}