Pith Number

pith:6XEUA3MW

pith:2013:6XEUA3MWA2A22B2E5LOLTJSJM4

not attested not anchored not stored refs pending

Optimal random search, fractional dynamics and fractional calculus

Caibin Zeng, YangQuan Chen

arxiv:1310.7687 v1 · 2013-10-29 · 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{6XEUA3MWA2A22B2E5LOLTJSJM4}

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	2026-05-18T02:29:01.780801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5c9406d960681ad0744eadcb9a6496708ea624b36e5efcc20904e874b0d02b3

Aliases

arxiv: 1310.7687 · arxiv_version: 1310.7687v1 · doi: 10.48550/arxiv.1310.7687 · pith_short_12: 6XEUA3MWA2A2 · pith_short_16: 6XEUA3MWA2A22B2E · pith_short_8: 6XEUA3MW

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/6XEUA3MWA2A22B2E5LOLTJSJM4 \
  | 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: f5c9406d960681ad0744eadcb9a6496708ea624b36e5efcc20904e874b0d02b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "536a5bd0221619628d2e5475e45967306e1da8582ff772f488a1e3fdbde7ecb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-10-29T05:32:49Z",
    "title_canon_sha256": "f9fb5704d6c8fd1749ab4c8ec92bf37bb768084d0555be2c5199e0d7972d2e6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7687",
    "kind": "arxiv",
    "version": 1
  }
}