Pith Number

pith:GZASQYLK

pith:2025:GZASQYLK47K3KBOEUCU7PSPG7X

not attested not anchored not stored refs pending

A characterization of compact operators on $\ell^p$-spaces

Mortaza Abtahi

arxiv:2506.06726 v1 · 2025-06-07 · 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{GZASQYLK47K3KBOEUCU7PSPG7X}

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	2026-07-05T11:17:54.652401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

364128616ae7d5b505c4a0a9f7c9e6fdca87c0037ca8ff54110e0cd71274cbca

Aliases

arxiv: 2506.06726 · arxiv_version: 2506.06726v1 · doi: 10.48550/arxiv.2506.06726 · pith_short_12: GZASQYLK47K3 · pith_short_16: GZASQYLK47K3KBOE · pith_short_8: GZASQYLK

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/GZASQYLK47K3KBOEUCU7PSPG7X \
  | 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: 364128616ae7d5b505c4a0a9f7c9e6fdca87c0037ca8ff54110e0cd71274cbca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04e9a8c2c5db05c4f5f7e5033db6ad726131e30dc153f9c959f0e0b37fa551f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-06-07T09:18:13Z",
    "title_canon_sha256": "69886bedc7b624dca570b3c5273ac392739474eb6b1ffe2089b0fe7ffdf79e4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06726",
    "kind": "arxiv",
    "version": 1
  }
}