Pith Number

pith:J65IWH7C

pith:2010:J65IWH7CYZN3VHSM3N4LZVEK67

not attested not anchored not stored refs pending

The Algebraic Structure of Finitely Generated $L^{0}(\mathcal{F},K)$-Modules and the Helly Theorem in Random Normed Modules

Guang Shi, Tiexin Guo

arxiv:1009.5170 v5 · 2010-09-27 · 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{J65IWH7CYZN3VHSM3N4LZVEK67}

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	2026-05-18T04:25:37.785147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fba8b1fe2c65bba9e4cdb78bcd48af7c13531d32cf39ffc24b80391a40691c9

Aliases

arxiv: 1009.5170 · arxiv_version: 1009.5170v5 · doi: 10.48550/arxiv.1009.5170 · pith_short_12: J65IWH7CYZN3 · pith_short_16: J65IWH7CYZN3VHSM · pith_short_8: J65IWH7C

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/J65IWH7CYZN3VHSM3N4LZVEK67 \
  | 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: 4fba8b1fe2c65bba9e4cdb78bcd48af7c13531d32cf39ffc24b80391a40691c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dccf1052d58fb6b7a4eba0208b18ad0fc18f429488444d38af1b9702f36b0571",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-09-27T07:12:05Z",
    "title_canon_sha256": "7a809f71b4a1dd7a321c797af994a124bb56d1f336b433c9d17927e3f1013731"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5170",
    "kind": "arxiv",
    "version": 5
  }
}