Pith Number

pith:4MXTOZYQ

pith:2010:4MXTOZYQIHPZQOVPB2BZRCW6KY

not attested not anchored not stored refs pending

Cyclic contractions and best proximity pair theorems

G.Sankara Raju Kosuru, P. Veeramani

arxiv:1012.1434 v3 · 2010-12-07 · 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{4MXTOZYQIHPZQOVPB2BZRCW6KY}

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	2026-05-18T04:12:21.096993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e32f37671041df983aaf0e83988ade561b5606559f3d1f345f0e6001b4978d15

Aliases

arxiv: 1012.1434 · arxiv_version: 1012.1434v3 · doi: 10.48550/arxiv.1012.1434 · pith_short_12: 4MXTOZYQIHPZ · pith_short_16: 4MXTOZYQIHPZQOVP · pith_short_8: 4MXTOZYQ

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/4MXTOZYQIHPZQOVPB2BZRCW6KY \
  | 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: e32f37671041df983aaf0e83988ade561b5606559f3d1f345f0e6001b4978d15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b366461008f9924d1ad634e744c96f872f57c4023ad5db3191522fc532805bfd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-12-07T09:05:03Z",
    "title_canon_sha256": "6b41fc54f360f0196aa9d85942f744e8cec3f4fa2ee3cd5c6042ebff4f9bfaff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1434",
    "kind": "arxiv",
    "version": 3
  }
}