Pith Number

pith:D4YV7BEF

pith:2016:D4YV7BEFFB2NHM4VF3G532XRGB

not attested not anchored not stored refs pending

A Sobolev Space theory for stochastic partial differential equations with time-fractional derivatives

Ildoo Kim, Kyeong-Hun Kim, Sungbin Lim

arxiv:1605.01801 v1 · 2016-05-06 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4YV7BEFFB2NHM4VF3G532XRGB}

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	2026-05-18T01:15:31.394838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f315f84852874d3b3952ecdddeaf130620b152aada731189710c724b5852b70

Aliases

arxiv: 1605.01801 · arxiv_version: 1605.01801v1 · doi: 10.48550/arxiv.1605.01801 · pith_short_12: D4YV7BEFFB2N · pith_short_16: D4YV7BEFFB2NHM4V · pith_short_8: D4YV7BEF

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/D4YV7BEFFB2NHM4VF3G532XRGB \
  | 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: 1f315f84852874d3b3952ecdddeaf130620b152aada731189710c724b5852b70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf082d5b0c7ecd4d32eaeccc6d341657e62f191d74f7fe4c3aab6c932f51afc7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-05-06T01:58:05Z",
    "title_canon_sha256": "9047f2bb8ddf3aefc34a8aa3b6bc0fdd51e98122090a1ae91af99bbd5a53eb08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01801",
    "kind": "arxiv",
    "version": 1
  }
}