Pith Number

pith:BP77AWYK

pith:2019:BP77AWYKHB2VDXBBQGT57BRG7W

not attested not anchored not stored refs pending

Some discontinuous functional differential equation and its connection to smoothness of composition operators in $L^p$

Junya Nishiguchi

arxiv:1907.03504 v1 · 2019-07-08 · math.CA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BP77AWYKHB2VDXBBQGT57BRG7W}

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	2026-05-17T23:41:14.453847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bfff05b0a387551dc2181a7df8626fd99afb80fbb818dd314b35a7a4e93ef92

Aliases

arxiv: 1907.03504 · arxiv_version: 1907.03504v1 · doi: 10.48550/arxiv.1907.03504 · pith_short_12: BP77AWYKHB2V · pith_short_16: BP77AWYKHB2VDXBB · pith_short_8: BP77AWYK

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/BP77AWYKHB2VDXBBQGT57BRG7W \
  | 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: 0bfff05b0a387551dc2181a7df8626fd99afb80fbb818dd314b35a7a4e93ef92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "836c512d52de64d00ad4181a103a7ef1afa0a50f8e13fb74b3df512493f3ce4b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-07-08T10:58:32Z",
    "title_canon_sha256": "84e52b4b6d1153d20f743d9a8c2eb2afedfb038aadba25e092d07105d974b792"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03504",
    "kind": "arxiv",
    "version": 1
  }
}