Pith Number

pith:AMFVJYFO

pith:2015:AMFVJYFOUHXLRBPHUXQRQF7SFF

not attested not anchored not stored refs pending

Random convex analysis (II): continuity and subdifferentiability theorems in $L^{0}$--pre--barreled random locally convex modules

Shien Zhao, Tiexin Guo, Xiaolin Zeng

arxiv:1503.08637 v2 · 2015-03-30 · 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{AMFVJYFOUHXLRBPHUXQRQF7SFF}

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	2026-05-18T01:27:24.018194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

030b54e0aea1eeb885e7a5e11817f2294f03bfa0cb367b385e8914ba1a9f0a22

Aliases

arxiv: 1503.08637 · arxiv_version: 1503.08637v2 · doi: 10.48550/arxiv.1503.08637 · pith_short_12: AMFVJYFOUHXL · pith_short_16: AMFVJYFOUHXLRBPH · pith_short_8: AMFVJYFO

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/AMFVJYFOUHXLRBPHUXQRQF7SFF \
  | 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: 030b54e0aea1eeb885e7a5e11817f2294f03bfa0cb367b385e8914ba1a9f0a22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e11fc83ebf61ef2c51b5f0e1a2cdf43dbd8527dc31bebd82d635293b8c2b0589",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-03-30T11:08:12Z",
    "title_canon_sha256": "077fad95b9a43f82f97481d942020ed379d55520f0fc944c390db4841476bc20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08637",
    "kind": "arxiv",
    "version": 2
  }
}