Pith Number

pith:6FCR4U7M

pith:2016:6FCR4U7MR36JUDHUB3GJAOIJPT

not attested not anchored not stored refs pending

Boundary-value problem for fractional heat equation involving Caputo-Fabrizio derivative

Erkinjon Karimov, Nasser Al-Salti, Sebti Kerbal

arxiv:1603.09471 v1 · 2016-03-31 · 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{6FCR4U7MR36JUDHUB3GJAOIJPT}

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	2026-05-18T01:17:58.545088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1451e53ec8efc9a0cf40ecc9039097cd092f1a94af2959e3f9e12fede2f8af7

Aliases

arxiv: 1603.09471 · arxiv_version: 1603.09471v1 · doi: 10.48550/arxiv.1603.09471 · pith_short_12: 6FCR4U7MR36J · pith_short_16: 6FCR4U7MR36JUDHU · pith_short_8: 6FCR4U7M

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/6FCR4U7MR36JUDHUB3GJAOIJPT \
  | 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: f1451e53ec8efc9a0cf40ecc9039097cd092f1a94af2959e3f9e12fede2f8af7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23faffdff7613c5e124a3cd8766861192fabf866c983823e896c574f60d771c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-31T07:19:28Z",
    "title_canon_sha256": "4af46adaccb850101843973680808e1c225bd7dd68749b094c065d8409c61e9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09471",
    "kind": "arxiv",
    "version": 1
  }
}