Pith Number

pith:IH4FJ4B4

pith:2011:IH4FJ4B4JPIFIGHJE4SH5OIBRR

not attested not anchored not stored refs pending

On the coefficients of the asymptotic expansion of the kernel of Berezin-Toeplitz quantization

Chin-Yu Hsiao

arxiv:1108.0498 v2 · 2011-08-02 · math.CV · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IH4FJ4B4JPIFIGHJE4SH5OIBRR}

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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	2026-05-18T03:50:35.562623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41f854f03c4bd05418e927247eb9018c4a82fef7624b06c7d94dfe29afa474c7

Aliases

arxiv: 1108.0498 · arxiv_version: 1108.0498v2 · doi: 10.48550/arxiv.1108.0498 · pith_short_12: IH4FJ4B4JPIF · pith_short_16: IH4FJ4B4JPIFIGHJ · pith_short_8: IH4FJ4B4

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/IH4FJ4B4JPIFIGHJE4SH5OIBRR \
  | 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: 41f854f03c4bd05418e927247eb9018c4a82fef7624b06c7d94dfe29afa474c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dda60d2a09436fa1b4bbce8048f884a46ce646af618af0ca1431beaa283087ae",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-08-02T07:20:10Z",
    "title_canon_sha256": "5be5cb30a9d504bd68fa47778c914a0a253e1ecf3a4f7fa7b5e52f75d2085136"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0498",
    "kind": "arxiv",
    "version": 2
  }
}