Pith Number

pith:CEEOOUEN

pith:2016:CEEOOUEN6Y6LEX5YNAGDVFJS4E

not attested not anchored not stored refs pending

Asymptotic expansions of solutions of fractional diffusion equations

Hironori Michihisa, Kazuhiro Ishige, Tatsuki Kawakami

arxiv:1610.09789 v1 · 2016-10-31 · 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{CEEOOUEN6Y6LEX5YNAGDVFJS4E}

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	2026-05-18T00:29:15.533767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1108e7508df63cb25fb8680c3a9532e10fac07cc2b30a463c1b133d43de98fad

Aliases

arxiv: 1610.09789 · arxiv_version: 1610.09789v1 · doi: 10.48550/arxiv.1610.09789 · pith_short_12: CEEOOUEN6Y6L · pith_short_16: CEEOOUEN6Y6LEX5Y · pith_short_8: CEEOOUEN

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/CEEOOUEN6Y6LEX5YNAGDVFJS4E \
  | 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: 1108e7508df63cb25fb8680c3a9532e10fac07cc2b30a463c1b133d43de98fad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97aa76385aee101fa85cc907ba8e420b151eccb0560403a6b8c04e31c9bc86c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-31T05:35:49Z",
    "title_canon_sha256": "af9fac1276cfc1441913bf212a9b6dd542bc1058a578794a25cf53742e3e7b9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09789",
    "kind": "arxiv",
    "version": 1
  }
}