Pith Number

pith:GVTMBISN

pith:2019:GVTMBISNELDNUVJ5PLF7XMU7I6

not attested not anchored not stored refs pending

Algebra of Dunkl Laplace-Runge-Lenz vector

Misha Feigin, Tigran Hakobyan

arxiv:1907.06706 v2 · 2019-07-15 · math-ph · hep-th · math.MP · math.QA · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GVTMBISNELDNUVJ5PLF7XMU7I6}

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	2026-07-05T00:22:40.760976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3566c0a24d22c6da553d7acbfbb29f47bb1a71ae4a79571db93806526bcf424c

Aliases

arxiv: 1907.06706 · arxiv_version: 1907.06706v2 · doi: 10.48550/arxiv.1907.06706 · pith_short_12: GVTMBISNELDN · pith_short_16: GVTMBISNELDNUVJ5 · pith_short_8: GVTMBISN

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/GVTMBISNELDNUVJ5PLF7XMU7I6 \
  | 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: 3566c0a24d22c6da553d7acbfbb29f47bb1a71ae4a79571db93806526bcf424c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81937b52c92eb69bfb659debf2655281df4c21ae825ee834b6e861040d5878a3",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.QA",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-07-15T19:18:19Z",
    "title_canon_sha256": "8cc3514538c3d440dbb35614ce4e959cd5017a7d01a551045fec3a8ac4ab621b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06706",
    "kind": "arxiv",
    "version": 2
  }
}