Pith Number

pith:CNMML5XD

pith:2013:CNMML5XDFL4XLZFJI6V7W7OGJI

not attested not anchored not stored refs pending

On the Smoothness of the Noncommutative Pillow and Quantum Teardrops

Tomasz Brzezi\'nski

arxiv:1311.4758 v4 · 2013-11-19 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CNMML5XDFL4XLZFJI6V7W7OGJI}

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	2026-05-18T02:59:05.865221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1358c5f6e32af975e4a947abfb7dc64a2e9bfde1a3b8c626c202998dd5367f63

Aliases

arxiv: 1311.4758 · arxiv_version: 1311.4758v4 · doi: 10.48550/arxiv.1311.4758 · pith_short_12: CNMML5XDFL4X · pith_short_16: CNMML5XDFL4XLZFJ · pith_short_8: CNMML5XD

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/CNMML5XDFL4XLZFJI6V7W7OGJI \
  | 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: 1358c5f6e32af975e4a947abfb7dc64a2e9bfde1a3b8c626c202998dd5367f63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a869d73238f08d48a4f878a09aff0548abf3916a65e0be613a31f7f6234feb93",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-11-19T14:54:56Z",
    "title_canon_sha256": "6d4588a2d046ad993a82f7c166d78116caf8ed3edf78633817b2c5d4fe2d1852"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4758",
    "kind": "arxiv",
    "version": 4
  }
}