Pith Number

pith:7DWZOBF2

pith:2021:7DWZOBF2UO5NHSFXM6NWM4C4ED

not attested not anchored not stored refs pending

Beurling-Lax type theorems and Cuntz relations

B. Schneider, D. Alpay, F. Colombo, I. Sabadini

arxiv:2108.03630 v1 · 2021-08-08 · math.CV · 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{7DWZOBF2UO5NHSFXM6NWM4C4ED}

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	2026-07-05T03:52:30.556398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8ed9704baa3bad3c8b7679b66705c20d278e5509ce1c48175a0a9a9ce1a70dc

Aliases

arxiv: 2108.03630 · arxiv_version: 2108.03630v1 · doi: 10.48550/arxiv.2108.03630 · pith_short_12: 7DWZOBF2UO5N · pith_short_16: 7DWZOBF2UO5NHSFX · pith_short_8: 7DWZOBF2

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/7DWZOBF2UO5NHSFXM6NWM4C4ED \
  | 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: f8ed9704baa3bad3c8b7679b66705c20d278e5509ce1c48175a0a9a9ce1a70dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "700bc8d390484114bb9295db13317c0ffd9273dd3f2d67b8e5f75674f81e8508",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2021-08-08T13:21:52Z",
    "title_canon_sha256": "396dea22c71d137031392fb1b6f97c59cd219117baf2a83517dbb79a850f37c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.03630",
    "kind": "arxiv",
    "version": 1
  }
}