Pith Number

pith:7DRO67TZ

pith:2018:7DRO67TZTMGND3OY4BOE7FTVNF

not attested not anchored not stored refs pending

Time-domain response of nabla discrete fractional order systems

Qing Gao, Songsong Cheng, Yiheng Wei, Yong Wang

arxiv:1812.11370 v1 · 2018-12-29 · math.DS · 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{7DRO67TZTMGND3OY4BOE7FTVNF}

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	2026-07-05T05:22:25.229087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8e2ef7e799b0cd1edd8e05c4f96756958a9dc3c0c91ebf48a4a9f7d29a9afb5

Aliases

arxiv: 1812.11370 · arxiv_version: 1812.11370v1 · doi: 10.48550/arxiv.1812.11370 · pith_short_12: 7DRO67TZTMGN · pith_short_16: 7DRO67TZTMGND3OY · pith_short_8: 7DRO67TZ

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/7DRO67TZTMGND3OY4BOE7FTVNF \
  | 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: f8e2ef7e799b0cd1edd8e05c4f96756958a9dc3c0c91ebf48a4a9f7d29a9afb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3de749f5b875823d96b09bb2e83f52cba92d99ba14540dec6ba7ceb0637376f",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-12-29T14:16:58Z",
    "title_canon_sha256": "057f0df73bada0317259acc4f6dbb20a3517d0162531064b493ed80e88c0e850"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11370",
    "kind": "arxiv",
    "version": 1
  }
}