Pith Number

pith:W2OXHKSM

pith:2014:W2OXHKSMAF7U3ZQZMHLEVXLQJQ

not attested not anchored not stored refs pending

Contractivity, complete contractivity and curvature inequalities

Avijit Pal, Gadadhar Misra

arxiv:1410.7493 v2 · 2014-10-28 · 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{W2OXHKSMAF7U3ZQZMHLEVXLQJQ}

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	2026-05-18T02:29:10.450420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b69d73aa4c017f4de61961d64add704c11fd6e39f014bd889ade78924f0501d2

Aliases

arxiv: 1410.7493 · arxiv_version: 1410.7493v2 · doi: 10.48550/arxiv.1410.7493 · pith_short_12: W2OXHKSMAF7U · pith_short_16: W2OXHKSMAF7U3ZQZ · pith_short_8: W2OXHKSM

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/W2OXHKSMAF7U3ZQZMHLEVXLQJQ \
  | 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: b69d73aa4c017f4de61961d64add704c11fd6e39f014bd889ade78924f0501d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c109f144df0c36cde6f57121112b50532091c410575ec6c14284a25de7ddeb60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-10-28T02:27:45Z",
    "title_canon_sha256": "b76b33057bb6791015d27dce96b75b6d448b321af148950a9f6eb5216fe11641"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7493",
    "kind": "arxiv",
    "version": 2
  }
}