Pith Number

pith:ZQJFRIU2

pith:2019:ZQJFRIU2WYXIPCXUCDU54ZLZ2H

not attested not anchored not stored refs pending

Mild and strong solutions for Hilfer evolution equation

E. Capelas de Oliveira, J. Vanterler da C. Sousa, Leandro S. Tavares

arxiv:1907.02019 v1 · 2019-07-03 · math.CA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQJFRIU2WYXIPCXUCDU54ZLZ2H}

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	2026-05-17T23:41:34.207208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc1258a29ab62e878af410e9de6579d1f321b8bf54cbee31536620d5c3dcdad1

Aliases

arxiv: 1907.02019 · arxiv_version: 1907.02019v1 · doi: 10.48550/arxiv.1907.02019 · pith_short_12: ZQJFRIU2WYXI · pith_short_16: ZQJFRIU2WYXIPCXU · pith_short_8: ZQJFRIU2

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/ZQJFRIU2WYXIPCXUCDU54ZLZ2H \
  | 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: cc1258a29ab62e878af410e9de6579d1f321b8bf54cbee31536620d5c3dcdad1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbb5649e3e5633ccd78aacf10ea0768ee46c5bbb5e1dbccd2963b3e398f436ad",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-07-03T16:32:04Z",
    "title_canon_sha256": "e776a952534644219b0da2c8b2aeaeb554341a35e3856802035ddcad1aa24cf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02019",
    "kind": "arxiv",
    "version": 1
  }
}