Pith Number

pith:LITBCOVG

pith:2018:LITBCOVGSESCV5KQSLVIV5C4RI

not attested not anchored not stored refs pending

The spectral Flow of a family of Toeplitz operators

Maxim Braverman

arxiv:1803.11101 v4 · 2018-03-29 · math.DG · cond-mat.mes-hall · math-ph · math.AP · 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{LITBCOVGSESCV5KQSLVIV5C4RI}

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	2026-05-18T00:00:08.681886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a26113aa691242af55092ea8af45c8a1e74f7c7fc17f8aa01f818e5cd299864

Aliases

arxiv: 1803.11101 · arxiv_version: 1803.11101v4 · doi: 10.48550/arxiv.1803.11101 · pith_short_12: LITBCOVGSESC · pith_short_16: LITBCOVGSESCV5KQ · pith_short_8: LITBCOVG

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/LITBCOVGSESCV5KQSLVIV5C4RI \
  | 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: 5a26113aa691242af55092ea8af45c8a1e74f7c7fc17f8aa01f818e5cd299864

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f03662d607f85b2142206088a3ce52d40c383a21bf58987762a1d7c9ffe0e969",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-03-29T14:45:30Z",
    "title_canon_sha256": "d51953cef34b3e233c4251219fd4dbe2b52370807ffa232e7e2e963190af20fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.11101",
    "kind": "arxiv",
    "version": 4
  }
}