Pith Number

pith:7KN4TDXO

pith:2016:7KN4TDXOOT3NKY4JE3AM7PZUSO

not attested not anchored not stored refs pending

On the regional gradient observability of time fractional diffusion processes

Chunhai Kou, Fudong Ge, YangQuan Chen

arxiv:1608.02371 v1 · 2016-08-08 · 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{7KN4TDXOOT3NKY4JE3AM7PZUSO}

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	2026-05-18T01:09:40.371063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa9bc98eee74f6d5638926c0cfbf3493b7089357c761d3ac5f3ee6a4868f131d

Aliases

arxiv: 1608.02371 · arxiv_version: 1608.02371v1 · doi: 10.48550/arxiv.1608.02371 · pith_short_12: 7KN4TDXOOT3N · pith_short_16: 7KN4TDXOOT3NKY4J · pith_short_8: 7KN4TDXO

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/7KN4TDXOOT3NKY4JE3AM7PZUSO \
  | 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: fa9bc98eee74f6d5638926c0cfbf3493b7089357c761d3ac5f3ee6a4868f131d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ce5f947aeaac235cee968bb209f36601f88a6d6f751f9d4bcffe0f469d4b8b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-08-08T10:20:50Z",
    "title_canon_sha256": "2cbc77fa71bfdd15dc7a9fab5609e6cf8b08e963c8f40297bf1675c756e2405a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02371",
    "kind": "arxiv",
    "version": 1
  }
}