Pith Number

pith:U4O2SECS

pith:2013:U4O2SECSWETDUW52GH6TUT3W43

not attested not anchored not stored refs pending

Cauchy Problem for Fractional Diffusion-Wave Equations with Variable Coefficients

Anatoly N. Kochubei

arxiv:1308.6452 v2 · 2013-08-29 · 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{U4O2SECSWETDUW52GH6TUT3W43}

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	2026-05-18T02:52:12.482975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a71da91052b1263a5bba31fd3a4f76e6f2c4852bf327cf4c17ba069ca42eabc2

Aliases

arxiv: 1308.6452 · arxiv_version: 1308.6452v2 · doi: 10.48550/arxiv.1308.6452 · pith_short_12: U4O2SECSWETD · pith_short_16: U4O2SECSWETDUW52 · pith_short_8: U4O2SECS

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/U4O2SECSWETDUW52GH6TUT3W43 \
  | 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: a71da91052b1263a5bba31fd3a4f76e6f2c4852bf327cf4c17ba069ca42eabc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6982d8899c9a21473d35d79112cefabc005c11078374c84337d7797de77167af",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-29T12:36:25Z",
    "title_canon_sha256": "c870d5d23b403081e5b5a6d317a50bef6200225502434eba336df06cad47dd88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6452",
    "kind": "arxiv",
    "version": 2
  }
}