pith. the verified trust layer for science. sign in
Pith Number

pith:G6JPTKYZ

pith:2013:G6JPTKYZRT3NF7RS3FRQM2POIB
not attested not anchored not stored refs pending

The space-fractional diffusion-advection equation: Analytical solutions and critical assessment of numerical solutions

Frederic Effenberger, Horst Fichtner, Robin Stern, Tobias Schaefer

arxiv:1309.4263 v1 · 2013-09-17 · cond-mat.stat-mech · math.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{G6JPTKYZRT3NF7RS3FRQM2POIB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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 2026-05-18T02:39:25.700586Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3792f9ab198cf6d2fe32d9630669ee40622f81ba293959665af36baccd48ac3f

Aliases

arxiv: 1309.4263 · arxiv_version: 1309.4263v1 · doi: 10.48550/arxiv.1309.4263 · pith_short_12: G6JPTKYZRT3N · pith_short_16: G6JPTKYZRT3NF7RS · pith_short_8: G6JPTKYZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/G6JPTKYZRT3NF7RS3FRQM2POIB \
  | 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: 3792f9ab198cf6d2fe32d9630669ee40622f81ba293959665af36baccd48ac3f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "753afb61f44bf04329bb041a7be46519dcafd9a75f9c13fe4992aa7369e9b163",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-09-17T11:24:56Z",
    "title_canon_sha256": "8aec305a774d3cee06a46c613a8ea5e9c9a848df4f00dda192fd71785ecdaa17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4263",
    "kind": "arxiv",
    "version": 1
  }
}