Pith Number

pith:LBGASJTF

pith:2018:LBGASJTFVO6BNUWRJAZ27CGFNA

not attested not anchored not stored refs pending

On the equivalence of the Mizoguchi-Takahashi locally contractive map to Nadler's locally contractive map

Asrifa Sultana, Xiaolong Qin

arxiv:1801.04469 v1 · 2018-01-13 · 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{LBGASJTFVO6BNUWRJAZ27CGFNA}

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	2026-05-18T00:26:06.393626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

584c092665abbc16d2d14833af88c5680568dcba1d4860639d639506174770fc

Aliases

arxiv: 1801.04469 · arxiv_version: 1801.04469v1 · doi: 10.48550/arxiv.1801.04469 · pith_short_12: LBGASJTFVO6B · pith_short_16: LBGASJTFVO6BNUWR · pith_short_8: LBGASJTF

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/LBGASJTFVO6BNUWRJAZ27CGFNA \
  | 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: 584c092665abbc16d2d14833af88c5680568dcba1d4860639d639506174770fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68f8f4df28079f892e07a8de409e8ade61be3ea54f595797f216c2714d70b508",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-01-13T17:48:13Z",
    "title_canon_sha256": "4f100d8ea171d8beaa4edd5c3a1ed94514bb79bfc52d01cc72415e6ca799b0a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04469",
    "kind": "arxiv",
    "version": 1
  }
}