Pith Number

pith:F4ZYBJDI

pith:2025:F4ZYBJDI7DWLDS3KYDBP7PCIX5

not attested not anchored not stored refs pending

Uniqueness of Lp Minkowski problem in the supercritical range

Shi-Zhong Du

arxiv:2504.06946 v6 · 2025-04-09 · 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{F4ZYBJDI7DWLDS3KYDBP7PCIX5}

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	2026-07-16T01:22:25.129922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f3380a468f8ecb1cb6ac0c2ffbc48bf6e1266eaed0035b4113b653e264cb833

Aliases

arxiv: 2504.06946 · arxiv_version: 2504.06946v6 · doi: 10.48550/arxiv.2504.06946 · pith_short_12: F4ZYBJDI7DWL · pith_short_16: F4ZYBJDI7DWLDS3K · pith_short_8: F4ZYBJDI

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/F4ZYBJDI7DWLDS3KYDBP7PCIX5 \
  | 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: 2f3380a468f8ecb1cb6ac0c2ffbc48bf6e1266eaed0035b4113b653e264cb833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42e1edf60765f265ed5cdab15f0463eb1cfd80dec78b4a5ca8c5c7e4ba025a21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-04-09T14:53:18Z",
    "title_canon_sha256": "26545157438614478219468868800b5138f43f8028a1a13e1cef88984d5d2e85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.06946",
    "kind": "arxiv",
    "version": 6
  }
}