Pith Number

pith:ULMZFMZT

pith:2013:ULMZFMZTWIYKXSG4I2Y7ECOPY4

not attested not anchored not stored refs pending

$(q;l,\lambda)-$deformed Heisenberg algebra: representations, special functions and quantization

Ezinvi Balo\"itcha, Mahouton Norbert Hounkonnou, Sama Arjika

arxiv:1301.7028 v2 · 2013-01-29 · 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{ULMZFMZTWIYKXSG4I2Y7ECOPY4}

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	2026-05-18T03:21:33.506036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2d992b333b230abc8dc46b1f209cfc71007f4cfaad974c26bf263fab1c49a0f

Aliases

arxiv: 1301.7028 · arxiv_version: 1301.7028v2 · doi: 10.48550/arxiv.1301.7028 · pith_short_12: ULMZFMZTWIYK · pith_short_16: ULMZFMZTWIYKXSG4 · pith_short_8: ULMZFMZT

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/ULMZFMZTWIYKXSG4I2Y7ECOPY4 \
  | 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: a2d992b333b230abc8dc46b1f209cfc71007f4cfaad974c26bf263fab1c49a0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da60898db61c3c1a7a368b4edf14acccbd54666d71d093fc4c6a8b3c00beccc9",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-01-29T19:27:33Z",
    "title_canon_sha256": "6d0ea068409b4c5e9fd0b48c959c5065b03c9438f61c41eff67c59499d041782"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7028",
    "kind": "arxiv",
    "version": 2
  }
}