Pith Number

pith:QXS57AA3

pith:2019:QXS57AA3J4ODTCHLZOBIFKLZLE

not attested not anchored not stored refs pending

Green's function estimates for time fractional evolution equations

Ifan Johnston, Vassili Kolokoltsov

arxiv:1906.12157 v1 · 2019-06-28 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QXS57AA3J4ODTCHLZOBIFKLZLE}

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	2026-05-17T23:41:59.124027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85e5df801b4f1c3988ebcb8282a979592460d515e2816b3cb40f69e48c796b44

Aliases

arxiv: 1906.12157 · arxiv_version: 1906.12157v1 · doi: 10.48550/arxiv.1906.12157 · pith_short_12: QXS57AA3J4OD · pith_short_16: QXS57AA3J4ODTCHL · pith_short_8: QXS57AA3

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/QXS57AA3J4ODTCHLZOBIFKLZLE \
  | 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: 85e5df801b4f1c3988ebcb8282a979592460d515e2816b3cb40f69e48c796b44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13c1c2a3737580451eca3258fc01f060f9fadcc135b015554c2da9e9dc42e983",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-06-28T12:18:31Z",
    "title_canon_sha256": "ade3518bfb2ef105e8fad952646956f5a35814a330bf931e373545f71883127c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.12157",
    "kind": "arxiv",
    "version": 1
  }
}