Pith Number

pith:BNGBKNFL

pith:2015:BNGBKNFLY3PCUFO2662RUBBPPX

not attested not anchored not stored refs pending

A Schauder-type theorem for discontinuous operators with applications to second-order BVPs

Gennaro Infante, Rub\'en Figueroa

arxiv:1507.08124 v1 · 2015-07-29 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BNGBKNFLY3PCUFO2662RUBBPPX}

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	2026-05-18T01:15:15.120507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b4c1534abc6de2a15daf7b51a042f7de5fa7c9b081a4a42d5b20f886359476c

Aliases

arxiv: 1507.08124 · arxiv_version: 1507.08124v1 · doi: 10.48550/arxiv.1507.08124 · pith_short_12: BNGBKNFLY3PC · pith_short_16: BNGBKNFLY3PCUFO2 · pith_short_8: BNGBKNFL

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/BNGBKNFLY3PCUFO2662RUBBPPX \
  | 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: 0b4c1534abc6de2a15daf7b51a042f7de5fa7c9b081a4a42d5b20f886359476c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63b14fc7eb7bf50b1a4870dc34a4acebb7d2be0adbf8bb1ed9ff74ec33064214",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-07-29T12:56:17Z",
    "title_canon_sha256": "0b14397df067a0a881c29bce0356b0ae6117894dca0fddea24296bb8ee231358"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08124",
    "kind": "arxiv",
    "version": 1
  }
}