Pith Number

pith:DSLY6LSA

pith:2017:DSLY6LSA5OCLB5U3HQ65UOHU22

not attested not anchored not stored refs pending

A survey on fuzzy fractional differential and optimal control nonlocal evolution equations

Delfim F. M. Torres, Dumitru Baleanu, Juan J. Nieto, Ravi P. Agarwal, Yong Zhou

arxiv:1709.07766 v1 · 2017-09-21 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DSLY6LSA5OCLB5U3HQ65UOHU22}

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	2026-05-18T00:18:05.232760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c978f2e40eb84b0f69b3c3dda38f4d6a61518194eb0bd416613f331f9a82da2

Aliases

arxiv: 1709.07766 · arxiv_version: 1709.07766v1 · doi: 10.48550/arxiv.1709.07766 · pith_short_12: DSLY6LSA5OCL · pith_short_16: DSLY6LSA5OCLB5U3 · pith_short_8: DSLY6LSA

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/DSLY6LSA5OCLB5U3HQ65UOHU22 \
  | 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: 1c978f2e40eb84b0f69b3c3dda38f4d6a61518194eb0bd416613f331f9a82da2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b45a25899b6471239eb29bcfade3e76acfb95ef486d1bb8495e3fccfa7ec5f69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-09-21T13:39:32Z",
    "title_canon_sha256": "a81d37a6daf438c4a4141cde5469ba5fe977b59f476fc6d9c99af12c791d84ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07766",
    "kind": "arxiv",
    "version": 1
  }
}