Pith Number

pith:3LQQCQPS

pith:2019:3LQQCQPSNX26GVKND7ED45BMDT

not attested not anchored not stored refs pending

Time fractional diffusion equations: solution concepts, regularity and long-time behaviour

Rico Zacher

arxiv:1906.08503 v1 · 2019-06-20 · 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{3LQQCQPSNX26GVKND7ED45BMDT}

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	2026-05-17T23:42:52.301572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dae10141f26df5e3554d1fc83e742c1cc422c2352a67803715944bbbece4adf5

Aliases

arxiv: 1906.08503 · arxiv_version: 1906.08503v1 · doi: 10.48550/arxiv.1906.08503 · pith_short_12: 3LQQCQPSNX26 · pith_short_16: 3LQQCQPSNX26GVKN · pith_short_8: 3LQQCQPS

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/3LQQCQPSNX26GVKND7ED45BMDT \
  | 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: dae10141f26df5e3554d1fc83e742c1cc422c2352a67803715944bbbece4adf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9154acd0579293c52d4f793d3e34c95d8d6030ced3e4b90ada7cf28deae7e61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-20T08:53:20Z",
    "title_canon_sha256": "1b425810c1e31cbb63083cfe698c233bfb8d6fe3e9c94e013ef69c89239829b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08503",
    "kind": "arxiv",
    "version": 1
  }
}