Pith Number

pith:NNVXDWD5

pith:2018:NNVXDWD5W4RAYKRZOGRZKEEIDF

not attested not anchored not stored refs pending

Quantum Twist-Deformed D=4 Phase Spaces with Spin Sector and Hopf Algebroid Structures

Jerzy Lukierski, Mariusz Woronowicz, Stjepan Meljanac

arxiv:1811.07365 v1 · 2018-11-18 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NNVXDWD5W4RAYKRZOGRZKEEIDF}

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	2026-05-17T23:55:19.110599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b6b71d87db7220c2a3971a3951088194098abf17025f8e5b96ff162e59c8b62

Aliases

arxiv: 1811.07365 · arxiv_version: 1811.07365v1 · doi: 10.48550/arxiv.1811.07365 · pith_short_12: NNVXDWD5W4RA · pith_short_16: NNVXDWD5W4RAYKRZ · pith_short_8: NNVXDWD5

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/NNVXDWD5W4RAYKRZOGRZKEEIDF \
  | 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: 6b6b71d87db7220c2a3971a3951088194098abf17025f8e5b96ff162e59c8b62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ee6d74d2e877d6fcab4f44f2136fb34482f3fabccdf4c4b25cf0742798df010",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-11-18T17:51:24Z",
    "title_canon_sha256": "740b8233a39c45f7d6d59280ca4c55a511c19c9f479d260d8ee5c91eeb3cca81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.07365",
    "kind": "arxiv",
    "version": 1
  }
}