Pith Number

pith:A766A3OS

pith:2011:A766A3OSFGMWR5P25XHO5ELYQV

not attested not anchored not stored refs pending

Majorization fixed point principle and application to nonlinear integral equations

P. P. Zabreiko, Y. V. Korots

arxiv:1101.3671 v1 · 2011-01-19 · 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{A766A3OSFGMWR5P25XHO5ELYQV}

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	2026-05-18T04:31:21.791863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07fde06dd2299968f5faedceee9178856f43efdc2ca85298a6c4782ca19e5664

Aliases

arxiv: 1101.3671 · arxiv_version: 1101.3671v1 · doi: 10.48550/arxiv.1101.3671 · pith_short_12: A766A3OSFGMW · pith_short_16: A766A3OSFGMWR5P2 · pith_short_8: A766A3OS

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/A766A3OSFGMWR5P25XHO5ELYQV \
  | 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: 07fde06dd2299968f5faedceee9178856f43efdc2ca85298a6c4782ca19e5664

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4a9f88470c8dd8982d22420de8dae5963f734f574538d4e772cdbfe8012e415",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-01-19T12:06:19Z",
    "title_canon_sha256": "15c3bfa8a18ef0ddb5052436b8102369161c146a8dbef589674c02de56db41d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3671",
    "kind": "arxiv",
    "version": 1
  }
}