Pith Number

pith:453YQ2TG

pith:2012:453YQ2TGSHKSYBWUVNJNMNQCKL

not attested not anchored not stored refs pending

Berezin-Toeplitz quantization and its kernel expansion

George Marinescu, Xiaonan Ma

arxiv:1203.4201 v1 · 2012-03-19 · math.DG · math-ph · math.CV · math.MP · math.QA · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{453YQ2TGSHKSYBWUVNJNMNQCKL}

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	2026-05-18T01:33:32.867275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e777886a6691d52c06d4ab52d6360252c165fc55fc16f760d5f90746c98fe2f3

Aliases

arxiv: 1203.4201 · arxiv_version: 1203.4201v1 · doi: 10.48550/arxiv.1203.4201 · pith_short_12: 453YQ2TGSHKS · pith_short_16: 453YQ2TGSHKSYBWU · pith_short_8: 453YQ2TG

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/453YQ2TGSHKSYBWUVNJNMNQCKL \
  | 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: e777886a6691d52c06d4ab52d6360252c165fc55fc16f760d5f90746c98fe2f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b2e77820840979f38e1c9ac25e75594dd4fba6d05886b555bd0238b216cef1a",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP",
      "math.QA",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-03-19T19:00:49Z",
    "title_canon_sha256": "16856ad95d40d77f9690e8edd47312c0b6af542dff425deb396f289a380d8b2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4201",
    "kind": "arxiv",
    "version": 1
  }
}