Pith Number

pith:YH2JER4J

pith:2017:YH2JER4J3SETROC4NN2PTTGZEK

not attested not anchored not stored refs pending

Two Non-Commutative Binomial Theorems

Walter Wyss

arxiv:1707.03861 v2 · 2017-07-12 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YH2JER4J3SETROC4NN2PTTGZEK}

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.

Cited by

1 paper in Pith

Realisation of a Protected Cat-Qutrit Manifold via Engineered Quantum Tunnelling

Receipt and verification

First computed	2026-05-18T00:29:38.872033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1f4924789dc8938b85c6b74f9ccd922b79fb10fd4311db9c56c6f63ce7f13f0

Aliases

arxiv: 1707.03861 · arxiv_version: 1707.03861v2 · doi: 10.48550/arxiv.1707.03861 · pith_short_12: YH2JER4J3SET · pith_short_16: YH2JER4J3SETROC4 · pith_short_8: YH2JER4J

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/YH2JER4J3SETROC4NN2PTTGZEK \
  | 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: c1f4924789dc8938b85c6b74f9ccd922b79fb10fd4311db9c56c6f63ce7f13f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdcf81774e6adda40a087bdb18c914ae70f8d4ff5a9abacc41f7a362d1e2b61b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-07-12T18:42:17Z",
    "title_canon_sha256": "37f0b5130f5a34a5601385ddd9b39fb2afae5bed529858c60dc3d1a6baef273a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03861",
    "kind": "arxiv",
    "version": 2
  }
}