Pith Number

pith:GLLJE5Y2

pith:2013:GLLJE5Y27TX4XTVOY2YBVRK2UR

not attested not anchored not stored refs pending

Semiclassics for particles with spin via a Wigner-Weyl-type calculus

Max Lein, Omri Gat, Stefan Teufel

arxiv:1307.8068 v1 · 2013-07-30 · 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{GLLJE5Y27TX4XTVOY2YBVRK2UR}

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	2026-05-18T02:24:35.999134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32d692771afcefcbceaec6b01ac55aa46aaf9ffcc842581d20fc5083e5d84284

Aliases

arxiv: 1307.8068 · arxiv_version: 1307.8068v1 · doi: 10.48550/arxiv.1307.8068 · pith_short_12: GLLJE5Y27TX4 · pith_short_16: GLLJE5Y27TX4XTVO · pith_short_8: GLLJE5Y2

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/GLLJE5Y27TX4XTVOY2YBVRK2UR \
  | 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: 32d692771afcefcbceaec6b01ac55aa46aaf9ffcc842581d20fc5083e5d84284

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98a25e696b5445948c68ff855aec84dd2c682658170ed1bf666b0b77577c9f21",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-30T17:56:46Z",
    "title_canon_sha256": "05608e946d13f8cfe1deca0c52ca224eff48830289d3e374e5cb2341caf5278c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8068",
    "kind": "arxiv",
    "version": 1
  }
}