Pith Number

pith:3N4LLDGH

pith:2026:3N4LLDGHFYV3BTU776SPGIZICI

not attested not anchored not stored refs pending

Generalization of Hallaire-Luikov Moisture Transfer Equation: Direct Problem with the $\psi$-Prabhakar Operator

Erkinjon Karimov, Shokhzodbek Khasanov

arxiv:2606.31403 v1 · 2026-06-30 · math.AP · math-ph · 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{3N4LLDGHFYV3BTU776SPGIZICI}

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	2026-07-01T01:18:01.965276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db78b58cc72e2bb0ce9fffa4f32328122d6186253ae627e6708607e721e255e3

Aliases

arxiv: 2606.31403 · arxiv_version: 2606.31403v1 · doi: 10.48550/arxiv.2606.31403 · pith_short_12: 3N4LLDGHFYV3 · pith_short_16: 3N4LLDGHFYV3BTU7 · pith_short_8: 3N4LLDGH

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/3N4LLDGHFYV3BTU776SPGIZICI \
  | 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: db78b58cc72e2bb0ce9fffa4f32328122d6186253ae627e6708607e721e255e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c0b45b0010f132667d95460db77301e6d96b2bccef93e677aa42b4dc2846f42",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-30T09:30:39Z",
    "title_canon_sha256": "80d835e6c628dca832e5f8b1566dfdf61d91deb2f512914060c094b2562b7c41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31403",
    "kind": "arxiv",
    "version": 1
  }
}