Pith Number

pith:JJOALZS2

pith:2019:JJOALZS24KHR6O3VRUTLYFX6IU

not attested not anchored not stored refs pending

Time-fractional equations with reaction terms: fundamental solutions and asymptotics

Benedetta Pellacci, Enrico Valdinoci, Gianmaria Verzini, Serena Dipierro

arxiv:1903.11939 v1 · 2019-03-28 · 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{JJOALZS24KHR6O3VRUTLYFX6IU}

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	2026-05-17T23:49:58.621695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a5c05e65ae28f1f3b758d26bc16fe45221e198e189e1cbd9bc7a91c7a462fff

Aliases

arxiv: 1903.11939 · arxiv_version: 1903.11939v1 · doi: 10.48550/arxiv.1903.11939 · pith_short_12: JJOALZS24KHR · pith_short_16: JJOALZS24KHR6O3V · pith_short_8: JJOALZS2

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/JJOALZS24KHR6O3VRUTLYFX6IU \
  | 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: 4a5c05e65ae28f1f3b758d26bc16fe45221e198e189e1cbd9bc7a91c7a462fff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6bfe6b53d26c5ad56eb50bdb06a81dc5e578278bfea7a46b96f13c0666abe7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-03-28T13:12:48Z",
    "title_canon_sha256": "06150bce50c8c6d358577fed5af07b5090519a0be52b0b23ef889aae02e2b805"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.11939",
    "kind": "arxiv",
    "version": 1
  }
}