Pith Number

pith:IDSOXDCI

pith:2024:IDSOXDCIFBXPFZOKZLXVPNFP2P

not attested not anchored not stored refs pending

Constant rank operators in Korn-Maxwell-Sobolev inequalities

Paul Stephan, Peter Lewintan

arxiv:2412.14866 v1 · 2024-12-19 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IDSOXDCIFBXPFZOKZLXVPNFP2P}

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	2026-07-05T09:51:53.768728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40e4eb8c48286ef2e5cacaef57b4afd3ccbc8879f1a2bfa19622c88769f7cb89

Aliases

arxiv: 2412.14866 · arxiv_version: 2412.14866v1 · doi: 10.48550/arxiv.2412.14866 · pith_short_12: IDSOXDCIFBXP · pith_short_16: IDSOXDCIFBXPFZOK · pith_short_8: IDSOXDCI

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/IDSOXDCIFBXPFZOKZLXVPNFP2P \
  | 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: 40e4eb8c48286ef2e5cacaef57b4afd3ccbc8879f1a2bfa19622c88769f7cb89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61cc7137e1df83de4cf65a5ea5d76da52d427d21590c4f0adc32ab65aa4b437b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-19T14:02:17Z",
    "title_canon_sha256": "f6646c84c9ff31ee84c12064b5550ad912f1efa938faec57c9e06778b56f698f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.14866",
    "kind": "arxiv",
    "version": 1
  }
}