Pith Number

pith:56HSWHFW

pith:2026:56HSWHFW7NNDNM625A5MXLV27O

not attested not anchored not stored refs pending

Generalized norm retrieval and generalized phase retrieval in Hilbert spaces

Gholamreza Rahimlou, Vahid Sadri

arxiv:2606.12593 v1 · 2026-06-10 · 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{56HSWHFW7NNDNM625A5MXLV27O}

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	2026-06-12T00:07:55.751386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef8f2b1cb6fb5a36b3dae83acbaebafb9d2c6141ffe25832bcf3afb9ee7a2944

Aliases

arxiv: 2606.12593 · arxiv_version: 2606.12593v1 · doi: 10.48550/arxiv.2606.12593 · pith_short_12: 56HSWHFW7NND · pith_short_16: 56HSWHFW7NNDNM62 · pith_short_8: 56HSWHFW

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/56HSWHFW7NNDNM625A5MXLV27O \
  | 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: ef8f2b1cb6fb5a36b3dae83acbaebafb9d2c6141ffe25832bcf3afb9ee7a2944

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec65e87ca778153d94e7545c58ddb5e858b173424fddf36e1d7e8c185f33b4fa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-10T18:40:29Z",
    "title_canon_sha256": "ee0c012c0fda4e3c285b414e30dff82de0c09e4a2039f6c59948f3a97fe6f824"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12593",
    "kind": "arxiv",
    "version": 1
  }
}