Pith Number

pith:PCHWS7VP

pith:2018:PCHWS7VPIMUOAXZPFQHX2GBGQT

not attested not anchored not stored refs pending

The contractive principle for mappings in $b_v(s)$-metric spaces

Hiranmoy Garai, Lakshmi Kanta Dey, Pratikshan Mondal

arxiv:1802.03136 v1 · 2018-02-09 · 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{PCHWS7VPIMUOAXZPFQHX2GBGQT}

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	2026-05-18T00:23:58.505999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

788f697eaf4328e05f2f2c0f7d182684ed629f1cf65496879262d163fbdaed60

Aliases

arxiv: 1802.03136 · arxiv_version: 1802.03136v1 · doi: 10.48550/arxiv.1802.03136 · pith_short_12: PCHWS7VPIMUO · pith_short_16: PCHWS7VPIMUOAXZP · pith_short_8: PCHWS7VP

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/PCHWS7VPIMUOAXZPFQHX2GBGQT \
  | 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: 788f697eaf4328e05f2f2c0f7d182684ed629f1cf65496879262d163fbdaed60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81b9d08fa703c69e98b0c70902dfb414253df6bc705425baa37c6cf2c2986a21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-02-09T05:38:20Z",
    "title_canon_sha256": "1ef3008a58d51e3ce8c0307396c76d31ee1e0cd8b050ee29a91b128f5dab48a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.03136",
    "kind": "arxiv",
    "version": 1
  }
}