Pith Number

pith:LIOPI2AK

pith:2018:LIOPI2AKWBBIJW7EDYCNNQ7O3U

not attested not anchored not stored refs pending

On the summability of formal solutions of some linear q-difference-differential equations

Hidetoshi Tahara

arxiv:1804.02111 v1 · 2018-04-06 · 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{LIOPI2AKWBBIJW7EDYCNNQ7O3U}

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	2026-05-18T00:19:07.841003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a1cf4680ab04284dbe41e04d6c3eedd19b17d966187475862b7c4a37c363d2c

Aliases

arxiv: 1804.02111 · arxiv_version: 1804.02111v1 · doi: 10.48550/arxiv.1804.02111 · pith_short_12: LIOPI2AKWBBI · pith_short_16: LIOPI2AKWBBIJW7E · pith_short_8: LIOPI2AK

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/LIOPI2AKWBBIJW7EDYCNNQ7O3U \
  | 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: 5a1cf4680ab04284dbe41e04d6c3eedd19b17d966187475862b7c4a37c363d2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e3adecea77ccc0d8be546035c7414a5f6fbeb1ce1ea20bfb752ac55de6fe3e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-06T02:09:05Z",
    "title_canon_sha256": "baade7267c740244f6183ad819a19bccbeed49694cb42e8b6c83f8eb0e37efe2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.02111",
    "kind": "arxiv",
    "version": 1
  }
}