Pith Number

pith:UAB6FQJT

pith:2013:UAB6FQJTCGIIR6GVSTXPEWUEKS

not attested not anchored not stored refs pending

Dirac equation with a magnetic field in 3D non-commutative phase space

Fu-Lin Zhang, Mai-Lin Liang, Rui-Lin Yang, Ya-Bin Zhang

arxiv:1304.2861 v1 · 2013-04-10 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UAB6FQJTCGIIR6GVSTXPEWUEKS}

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	2026-05-18T01:50:40.632058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a003e2c133119088f8d594eef25a8454b6bbc972ba94105dc37c89bb8802fe80

Aliases

arxiv: 1304.2861 · arxiv_version: 1304.2861v1 · doi: 10.48550/arxiv.1304.2861 · pith_short_12: UAB6FQJTCGII · pith_short_16: UAB6FQJTCGIIR6GV · pith_short_8: UAB6FQJT

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/UAB6FQJTCGIIR6GVSTXPEWUEKS \
  | 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: a003e2c133119088f8d594eef25a8454b6bbc972ba94105dc37c89bb8802fe80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d28dded316d6e937e216a7bb21e184f71a829bbf128e3965620f15c137d9b32b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-04-10T07:24:04Z",
    "title_canon_sha256": "5cbab00b04424815642e19e0d315861e07b13013537c3a3693d0ee314778e951"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2861",
    "kind": "arxiv",
    "version": 1
  }
}