Pith Number

pith:GJSXL55M

pith:2008:GJSXL55MYHPFDE5MWGGDRVHITR

not attested not anchored not stored refs pending

Two-parameter Asymptotics in Magnetic Weyl Calculus

Max Lein

arxiv:0809.3199 v3 · 2008-09-18 · math-ph · math.MP · 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{GJSXL55MYHPFDE5MWGGDRVHITR}

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	2026-05-18T04:31:52.591803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

326575f7acc1de5193acb18c38d4e89c445ede7509021b1532dbdf9e43e86ab8

Aliases

arxiv: 0809.3199 · arxiv_version: 0809.3199v3 · doi: 10.48550/arxiv.0809.3199 · pith_short_12: GJSXL55MYHPF · pith_short_16: GJSXL55MYHPFDE5M · pith_short_8: GJSXL55M

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/GJSXL55MYHPFDE5MWGGDRVHITR \
  | 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: 326575f7acc1de5193acb18c38d4e89c445ede7509021b1532dbdf9e43e86ab8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "469fe1bea2ec5e3be55f11eaa8069ee4675f52cc00588f5a8553875383fc58af",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-09-18T16:16:47Z",
    "title_canon_sha256": "75238973c0f9ece5b05b5782cbdfee0c25fa59a74d5b3238fc69420005fdf118"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.3199",
    "kind": "arxiv",
    "version": 3
  }
}