Pith Number

pith:6B43YXLJ

pith:2016:6B43YXLJOLCIJSIOVQR3V5OFE6

not attested not anchored not stored refs pending

Totally Abelian Toeplitz operators and geometric invariants associated with their symbol curves

Hansong Huang, Hui Dan, Kunyu Guo

arxiv:1608.03528 v1 · 2016-08-10 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6B43YXLJOLCIJSIOVQR3V5OFE6}

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	2026-05-18T01:09:28.769717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f079bc5d6972c484c90eac23baf5c5278f88183f33557afafd155a30852e52e7

Aliases

arxiv: 1608.03528 · arxiv_version: 1608.03528v1 · doi: 10.48550/arxiv.1608.03528 · pith_short_12: 6B43YXLJOLCI · pith_short_16: 6B43YXLJOLCIJSIO · pith_short_8: 6B43YXLJ

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/6B43YXLJOLCIJSIOVQR3V5OFE6 \
  | 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: f079bc5d6972c484c90eac23baf5c5278f88183f33557afafd155a30852e52e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "314d29b608547118e0b0952ed1f661c4819cb9cce5922e1e2af0ae7ab4a47cd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-08-10T09:23:11Z",
    "title_canon_sha256": "590072d876d9a15a346211a297e7504250b96e7e0888390ae2c4650e5eed742f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03528",
    "kind": "arxiv",
    "version": 1
  }
}