Pith Number

pith:VMCJ42L7

pith:2026:VMCJ42L7QM7NW5IWOE2FD4POKD

not attested not anchored not stored refs pending

Cauchy Problem for the Time-Fractional Airy-Type Equation on a Star Graph with Edge-Dependent Order of Derivative

Kamoladdin Rakhimov, Zarif Sobirov

arxiv:2606.04814 v1 · 2026-06-03 · 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{VMCJ42L7QM7NW5IWOE2FD4POKD}

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	2026-06-04T01:09:31.030025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab049e697f833edb7516713451f1ee50f7c490d926656b8ce9620ac00ec8d2fe

Aliases

arxiv: 2606.04814 · arxiv_version: 2606.04814v1 · doi: 10.48550/arxiv.2606.04814 · pith_short_12: VMCJ42L7QM7N · pith_short_16: VMCJ42L7QM7NW5IW · pith_short_8: VMCJ42L7

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/VMCJ42L7QM7NW5IWOE2FD4POKD \
  | 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: ab049e697f833edb7516713451f1ee50f7c490d926656b8ce9620ac00ec8d2fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34469c36242bbd60dcd5b717175b196108a94bc5274fbf7ede3c5f0121221158",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-03T12:38:26Z",
    "title_canon_sha256": "f3e7856641e3782a29244b57b40350001466ea096048c27647d05dd4191b3a7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04814",
    "kind": "arxiv",
    "version": 1
  }
}