Pith Number

pith:YEJE4CU6

pith:2018:YEJE4CU6EFBEKQJN22N3AS77GE

not attested not anchored not stored refs pending

Two fixed point theorems in complete random normed modules and their applications to backward stochastic equations

Erxin Zhang, Tiexin Guo, Yachao Wang, ZiChen Guo

arxiv:1801.09341 v4 · 2018-01-29 · 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{YEJE4CU6EFBEKQJN22N3AS77GE}

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	2026-05-17T23:59:43.843007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1124e0a9e214245412dd69bb04bff312836c8f02aaacbb40a454a2234b7a5a2

Aliases

arxiv: 1801.09341 · arxiv_version: 1801.09341v4 · doi: 10.48550/arxiv.1801.09341 · pith_short_12: YEJE4CU6EFBE · pith_short_16: YEJE4CU6EFBEKQJN · pith_short_8: YEJE4CU6

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/YEJE4CU6EFBEKQJN22N3AS77GE \
  | 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: c1124e0a9e214245412dd69bb04bff312836c8f02aaacbb40a454a2234b7a5a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d139cb34b8f1bf1dd4b08f536a617f43bd2df8196771dd595d268fcdd9ce737",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-01-29T01:49:38Z",
    "title_canon_sha256": "1c4e426e052410ebc0bc19e098c04cf07393d8ee31e5ae9b0b7ad6aa4be9920f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09341",
    "kind": "arxiv",
    "version": 4
  }
}