Pith Number

pith:PHC4CW4E

pith:2015:PHC4CW4EW3RHVGOQULFZVNE6DS

not attested not anchored not stored refs pending

Regional controllability of anomalous diffusion generated by the time fractional diffusion equations

Chunhai Kou, Fudong Ge, YangQuan Chen

arxiv:1508.00047 v1 · 2015-07-31 · 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{PHC4CW4EW3RHVGOQULFZVNE6DS}

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	2026-05-18T01:35:59.236351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79c5c15b84b6e27a99d0a2cb9ab49e1cacbb4bbdbaaccb8fab5d04d165e87f2b

Aliases

arxiv: 1508.00047 · arxiv_version: 1508.00047v1 · doi: 10.48550/arxiv.1508.00047 · pith_short_12: PHC4CW4EW3RH · pith_short_16: PHC4CW4EW3RHVGOQ · pith_short_8: PHC4CW4E

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/PHC4CW4EW3RHVGOQULFZVNE6DS \
  | 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: 79c5c15b84b6e27a99d0a2cb9ab49e1cacbb4bbdbaaccb8fab5d04d165e87f2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b875b8da8bd84fac6512c7d8ddc474b0d686cf969919d1b09edc950007136c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-07-31T22:08:53Z",
    "title_canon_sha256": "bdbc6cc635559fae8e933c27b96d80064c313a69a12a9e5ea1c83650a30c86b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00047",
    "kind": "arxiv",
    "version": 1
  }
}