Pith Number

pith:I752QFB4

pith:2025:I752QFB4677FFQV2GN5BWVYQHH

not attested not anchored not stored refs pending

On the convexity of Berezin range and Berezin radius inequalities via a class of semi-norms

Athul Augustine, P. Hiran Das, Pintu Bhunia, P. Shankar

arxiv:2507.22427 v1 · 2025-07-30 · 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{I752QFB4677FFQV2GN5BWVYQHH}

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	2026-07-05T11:45:41.835737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47fba8143cf7fe52c2ba337a1b571039d42e1df9423618b0d5dc3734614f471b

Aliases

arxiv: 2507.22427 · arxiv_version: 2507.22427v1 · doi: 10.48550/arxiv.2507.22427 · pith_short_12: I752QFB4677F · pith_short_16: I752QFB4677FFQV2 · pith_short_8: I752QFB4

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/I752QFB4677FFQV2GN5BWVYQHH \
  | 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: 47fba8143cf7fe52c2ba337a1b571039d42e1df9423618b0d5dc3734614f471b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dcef4b02e11968f3ac01b7b5215d323fd5f14375c47860c13ef20fa8dd1acea",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-07-30T07:12:16Z",
    "title_canon_sha256": "729c95ea5faf9673da1bae7c192ab66229d66efa2a53980bede2891b18e67890"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.22427",
    "kind": "arxiv",
    "version": 1
  }
}