Pith Number

pith:K3Y57XKL

pith:2017:K3Y57XKLA4KO7TFDCB65RFYBIW

not attested not anchored not stored refs pending

Spectral properties of semi-classical Toeplitz operators

Alejandro Uribe, Victor Guillemin, Zuoqin Wang

arxiv:1706.04103 v1 · 2017-06-13 · math.SP · 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{K3Y57XKLA4KO7TFDCB65RFYBIW}

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	2026-05-18T00:42:24.500146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56f1dfdd4b0714efcca3107dd8970145bd80d6b955f07d8b1034d82db9d79256

Aliases

arxiv: 1706.04103 · arxiv_version: 1706.04103v1 · doi: 10.48550/arxiv.1706.04103 · pith_short_12: K3Y57XKLA4KO · pith_short_16: K3Y57XKLA4KO7TFD · pith_short_8: K3Y57XKL

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/K3Y57XKLA4KO7TFDCB65RFYBIW \
  | 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: 56f1dfdd4b0714efcca3107dd8970145bd80d6b955f07d8b1034d82db9d79256

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bb15ec7b76214048e308852748914359bd1a158859f90990c7d5d227557e058",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-06-13T14:51:55Z",
    "title_canon_sha256": "eb42428e34beb81530e5f7c66894529e32abb7ea7daea55ad83f5e0ecf85de51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04103",
    "kind": "arxiv",
    "version": 1
  }
}