Pith Number

pith:SQLVNZCF

pith:2025:SQLVNZCF2F543SGZNHDPPCUQLW

not attested not anchored not stored refs pending

Constructive Approximation in Mixed norm Spaces

Dhiraj Patel, Priyanka Majethiya, Shivam Bajpeyi

arxiv:2506.04787 v2 · 2025-06-05 · 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{SQLVNZCF2F543SGZNHDPPCUQLW}

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	2026-07-05T11:41:42.760980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

941756e445d17bcdc8d969c6f78a905d9667469ab6421c505cc06adbd6763dce

Aliases

arxiv: 2506.04787 · arxiv_version: 2506.04787v2 · doi: 10.48550/arxiv.2506.04787 · pith_short_12: SQLVNZCF2F54 · pith_short_16: SQLVNZCF2F543SGZ · pith_short_8: SQLVNZCF

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/SQLVNZCF2F543SGZNHDPPCUQLW \
  | 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: 941756e445d17bcdc8d969c6f78a905d9667469ab6421c505cc06adbd6763dce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f6ef9b5f1fa2f2d3b25ba894d73cc7541768e9c0469a1f1831beb58aab62d7b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-06-05T09:14:37Z",
    "title_canon_sha256": "5ac3e7262d54695bd8a674dcb5f493f64a69b0e56afc9a3c2b40cd27b4fd2939"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04787",
    "kind": "arxiv",
    "version": 2
  }
}