Pith Number

pith:7MGGNFPC

pith:2019:7MGGNFPCY5UHZT3UHUJF5FAC4E

not attested not anchored not stored refs pending

Toeplitz operators and pseudo-extensions

B. Krishna Das, Haripada Sau, Tirthankar Bhattacharyya

arxiv:1906.01313 v1 · 2019-06-04 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7MGGNFPCY5UHZT3UHUJF5FAC4E}

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	2026-05-17T23:44:17.034456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb0c6695e2c7687ccf743d125e9402e13353e527aa0e3e1d514af2ebdc87820a

Aliases

arxiv: 1906.01313 · arxiv_version: 1906.01313v1 · doi: 10.48550/arxiv.1906.01313 · pith_short_12: 7MGGNFPCY5UH · pith_short_16: 7MGGNFPCY5UHZT3U · pith_short_8: 7MGGNFPC

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/7MGGNFPCY5UHZT3UHUJF5FAC4E \
  | 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: fb0c6695e2c7687ccf743d125e9402e13353e527aa0e3e1d514af2ebdc87820a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "260edbcfafd565d69eaf6d236ef2709e57129a0793c585b47e9800186e42e7f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-06-04T10:08:13Z",
    "title_canon_sha256": "5fe05fafc2bf4e5580eed4039070726a82fdfcf99536e9366635aa174b65d174"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.01313",
    "kind": "arxiv",
    "version": 1
  }
}