Pith Number

pith:GTSYNZBR

pith:2017:GTSYNZBROYNTDM56JSHHS2Z7RC

not attested not anchored not stored refs pending

Symmetry operators and separation of variables in the $(2+1)$-dimensional Dirac equation with external electromagnetic field

A.I. Breev, A.V. Shapovalov

arxiv:1709.04644 v2 · 2017-09-14 · 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{GTSYNZBROYNTDM56JSHHS2Z7RC}

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	2026-05-18T00:24:42.466599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34e586e431761b31b3be4c8e796b3f888e57102b3768b2ff67fadde3334bfa0c

Aliases

arxiv: 1709.04644 · arxiv_version: 1709.04644v2 · doi: 10.48550/arxiv.1709.04644 · pith_short_12: GTSYNZBROYNT · pith_short_16: GTSYNZBROYNTDM56 · pith_short_8: GTSYNZBR

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/GTSYNZBROYNTDM56JSHHS2Z7RC \
  | 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: 34e586e431761b31b3be4c8e796b3f888e57102b3768b2ff67fadde3334bfa0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4848d94977341bbcf35737697399c4b6e5fa6b2d966c0226012575ee170c6da",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-09-14T07:46:47Z",
    "title_canon_sha256": "fa1ba001d23db1df598f14c353acafdb381d23176cb75b38d61f2587bee0941a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04644",
    "kind": "arxiv",
    "version": 2
  }
}