Pith Number

pith:V2MTJ4ZP

pith:2008:V2MTJ4ZP7DUMMQEC7EKEVZ6A6U

not attested not anchored not stored refs pending

Asymptotic equivariant index of Toeplitz operators and relative index of CR structures

Alan Weinstein, Eric Leichtnam, Louis Boutet de Monvel, Xiang Tang

arxiv:0808.1365 v1 · 2008-08-09 · math.DG · 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{V2MTJ4ZP7DUMMQEC7EKEVZ6A6U}

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	2026-07-04T15:13:32.318831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae9934f32ff8e8c64082f9144ae7c0f532c232738907c2d8a27904e00eac0ace

Aliases

arxiv: 0808.1365 · arxiv_version: 0808.1365v1 · doi: 10.48550/arxiv.0808.1365 · pith_short_12: V2MTJ4ZP7DUM · pith_short_16: V2MTJ4ZP7DUMMQEC · pith_short_8: V2MTJ4ZP

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/V2MTJ4ZP7DUMMQEC7EKEVZ6A6U \
  | 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: ae9934f32ff8e8c64082f9144ae7c0f532c232738907c2d8a27904e00eac0ace

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bb983570885a1092ad829b0c4a3b2b77b8011110db47722e6291c643226c0db",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-08-09T17:06:42Z",
    "title_canon_sha256": "7aca2a1c7fa29769727bf52876310c810a0b8e701d19317ecd5137bcc67dc62e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.1365",
    "kind": "arxiv",
    "version": 1
  }
}