Pith Number

pith:QIEUZYTC

pith:2026:QIEUZYTCGWJ3MBO7YREEJTB65G

not attested not anchored not stored refs pending

Failure of Convex-Hull Bounds under Log-Convex Tails

Hanchao Wang, Xuanang Hu

arxiv:2607.00538 v1 · 2026-07-01 · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QIEUZYTCGWJ3MBO7YREEJTB65G}

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	2026-07-02T01:17:47.000920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82094ce2623593b605dfc44844cc3ee9a7549a8df08776c199005e58728419bc

Aliases

arxiv: 2607.00538 · arxiv_version: 2607.00538v1 · doi: 10.48550/arxiv.2607.00538 · pith_short_12: QIEUZYTCGWJ3 · pith_short_16: QIEUZYTCGWJ3MBO7 · pith_short_8: QIEUZYTC

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/QIEUZYTCGWJ3MBO7YREEJTB65G \
  | 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: 82094ce2623593b605dfc44844cc3ee9a7549a8df08776c199005e58728419bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a860d7875473f4442fe72aa7b9890b16a98e4118013521f02693a4c73611087",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-07-01T07:28:32Z",
    "title_canon_sha256": "37a78ecaba981d69d5587619399bce8a844911f46c2b3cb5f3ec4da03d495788"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00538",
    "kind": "arxiv",
    "version": 1
  }
}