Pith Number

pith:J4Q6YODZ

pith:2011:J4Q6YODZXJTGKWEXRG3GX4VFRB

not attested not anchored not stored refs pending

Interacting time-fractional and $\Delta^{\nu}$ PDEs systems via Brownian-time and Inverse-stable-L\'evy-time Brownian sheets

Erkan Nane, Hassan Allouba

arxiv:1105.0652 v2 · 2011-05-03 · math.PR · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J4Q6YODZXJTGKWEXRG3GX4VFRB}

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	2026-05-18T02:47:13.409983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f21ec3879ba6665589789b66bf2a5884279bf24874aeed1d1b86a6e5f0a7dd7

Aliases

arxiv: 1105.0652 · arxiv_version: 1105.0652v2 · doi: 10.48550/arxiv.1105.0652 · pith_short_12: J4Q6YODZXJTG · pith_short_16: J4Q6YODZXJTGKWEX · pith_short_8: J4Q6YODZ

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/J4Q6YODZXJTGKWEXRG3GX4VFRB \
  | 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: 4f21ec3879ba6665589789b66bf2a5884279bf24874aeed1d1b86a6e5f0a7dd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d05a6b2bb219fce796be543a30723a397b4a0c349d57c55c9d8ffef5ec7fde5d",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-05-03T18:39:32Z",
    "title_canon_sha256": "8ea6748891399215e9f677cc5f9474ef50199d87b0c5642666fde17b4ca69460"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0652",
    "kind": "arxiv",
    "version": 2
  }
}