Pith Number

pith:EZKTOZDL

pith:2019:EZKTOZDLHDV2JXQNW7AQ2KZCNE

not attested not anchored not stored refs pending

On coupled best proximity points and Ulam-Hyers stability

Anuradha Gupta, Manu Rohilla

arxiv:1908.07225 v1 · 2019-08-20 · 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{EZKTOZDLHDV2JXQNW7AQ2KZCNE}

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	2026-07-04T23:58:32.090601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

265537646b38eba4de0db7c10d2b22692c0c224767cf28acacc9eb97247d624c

Aliases

arxiv: 1908.07225 · arxiv_version: 1908.07225v1 · doi: 10.48550/arxiv.1908.07225 · pith_short_12: EZKTOZDLHDV2 · pith_short_16: EZKTOZDLHDV2JXQN · pith_short_8: EZKTOZDL

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/EZKTOZDLHDV2JXQNW7AQ2KZCNE \
  | 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: 265537646b38eba4de0db7c10d2b22692c0c224767cf28acacc9eb97247d624c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bb685503ca62228ee5dc5dba7515bf57818dda1cbf6de3392e68f649261c2b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-08-20T08:49:23Z",
    "title_canon_sha256": "1f71657f2cb17ded4e4a51a2effa130c313b8fe5367b2102c9aaa4884bde1436"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07225",
    "kind": "arxiv",
    "version": 1
  }
}