Pith Number

pith:327I2XEO

pith:2019:327I2XEOEDXSBLYLJM5H4LD2WV

not attested not anchored not stored refs pending

A new study on the mild solution for impulsive fractional evolution equations

Fei Xu, Linxin Shu, Xiao-Bao Shu

arxiv:1907.03088 v1 · 2019-07-06 · math.CA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{327I2XEOEDXSBLYLJM5H4LD2WV}

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	2026-05-17T23:41:16.883241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

debe8d5c8e20ef20af0b4b3a7e2c7ab5587846933bffb5fc5cb5e26a80b4781a

Aliases

arxiv: 1907.03088 · arxiv_version: 1907.03088v1 · doi: 10.48550/arxiv.1907.03088 · pith_short_12: 327I2XEOEDXS · pith_short_16: 327I2XEOEDXSBLYL · pith_short_8: 327I2XEO

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/327I2XEOEDXSBLYLJM5H4LD2WV \
  | 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: debe8d5c8e20ef20af0b4b3a7e2c7ab5587846933bffb5fc5cb5e26a80b4781a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "499f918cc2103962a4edf04c6cde89747b3f15627ad7b05e8c972a8fad2f4132",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-07-06T06:59:53Z",
    "title_canon_sha256": "188016429e2da1ba8888d3b85060397d6b7222b830a9ec49eb296c38d1ff5f79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03088",
    "kind": "arxiv",
    "version": 1
  }
}