Pith Number

pith:I3LLXEN2

pith:2018:I3LLXEN266ACFYU5CIX5BHDMLS

not attested not anchored not stored refs pending

The index of Toeplitz operators on compact Lie groups and simply connected closed 3-manifolds

Duv\'an Cardona

arxiv:1809.10401 v3 · 2018-09-27 · 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{I3LLXEN266ACFYU5CIX5BHDMLS}

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	2026-05-18T00:02:44.228364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46d6bb91baf78022e29d122fd09c6c5ca776359410c1d659fd5b070a2d016e5e

Aliases

arxiv: 1809.10401 · arxiv_version: 1809.10401v3 · doi: 10.48550/arxiv.1809.10401 · pith_short_12: I3LLXEN266AC · pith_short_16: I3LLXEN266ACFYU5 · pith_short_8: I3LLXEN2

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/I3LLXEN266ACFYU5CIX5BHDMLS \
  | 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: 46d6bb91baf78022e29d122fd09c6c5ca776359410c1d659fd5b070a2d016e5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a491af16ce9e999c471bc8a70100ba105e6f778fbda73f550b2247278e85aca4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-09-27T08:31:57Z",
    "title_canon_sha256": "c43c97e14f21524f3d078ac29051265a88c64d7b0a4733b58fcb6575e84e1094"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10401",
    "kind": "arxiv",
    "version": 3
  }
}