Pith Number

pith:TSWRMRID

pith:2010:TSWRMRIDF66VYXDJOXYRBLDETU

not attested not anchored not stored refs pending

Noncommutative oscillators from a Hopf algebra twist deformation. A first principles derivation

B. Chakraborty, F. Toppan, P. G. Castro, R. Kullock

arxiv:1012.5158 v2 · 2010-12-23 · hep-th · 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{TSWRMRIDF66VYXDJOXYRBLDETU}

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

On the detectability of paraparticles beyond bosons and fermions

Receipt and verification

First computed	2026-05-18T04:23:02.515117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cad1645032fbd5c5c6975f110ac649d2f207a4b106152e95b34be1c2fc338f5

Aliases

arxiv: 1012.5158 · arxiv_version: 1012.5158v2 · doi: 10.48550/arxiv.1012.5158 · pith_short_12: TSWRMRIDF66V · pith_short_16: TSWRMRIDF66VYXDJ · pith_short_8: TSWRMRID

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/TSWRMRIDF66VYXDJOXYRBLDETU \
  | 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: 9cad1645032fbd5c5c6975f110ac649d2f207a4b106152e95b34be1c2fc338f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae0b452ab695339ecb4ed622fbc94136dd145410d88c5f794cebcf0efffdba6b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-12-23T07:42:31Z",
    "title_canon_sha256": "5433958ad5469dbb6e1cab4834ca036cf763db9a6ff03400790a2c190fb7164b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5158",
    "kind": "arxiv",
    "version": 2
  }
}