Pith Number

pith:GV4PHCED

pith:2016:GV4PHCEDFR2LQAOOZ7LTNEZIPZ

not attested not anchored not stored refs pending

Pazy's fixed point theorem with respect to the partial order in uniformly convex Banach spaces

Rudong Chen, Yisheng Song

arxiv:1606.08216 v1 · 2016-06-27 · 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{GV4PHCEDFR2LQAOOZ7LTNEZIPZ}

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	2026-05-18T01:11:52.530409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3578f388832c74b801cecfd73693287e42033960254df478c6ef6883743d05eb

Aliases

arxiv: 1606.08216 · arxiv_version: 1606.08216v1 · doi: 10.48550/arxiv.1606.08216 · pith_short_12: GV4PHCEDFR2L · pith_short_16: GV4PHCEDFR2LQAOO · pith_short_8: GV4PHCED

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/GV4PHCEDFR2LQAOOZ7LTNEZIPZ \
  | 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: 3578f388832c74b801cecfd73693287e42033960254df478c6ef6883743d05eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b8e401996e09c396d91a39871b4f6627ecb00a4f6eb7ddda0918b31eaa1ea5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-06-27T11:21:27Z",
    "title_canon_sha256": "118b191281e89cdd7bd49a72899e54de37e07ff1916e7a089f2ad0a6d1168bf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08216",
    "kind": "arxiv",
    "version": 1
  }
}