Pith Number

pith:MJ7Q24CD

pith:2016:MJ7Q24CDEZKMUYFL4TID67MLOQ

not attested not anchored not stored refs pending

On non-normal solutions of linear differential equations

Janne Gr\"ohn

arxiv:1602.00161 v1 · 2016-01-30 · math.CV · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MJ7Q24CDEZKMUYFL4TID67MLOQ}

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	2026-05-18T00:04:34.374335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

627f0d70432654ca60abe4d03f7d8b74176c396069ccdc0290ee196f3bd3ab29

Aliases

arxiv: 1602.00161 · arxiv_version: 1602.00161v1 · doi: 10.48550/arxiv.1602.00161 · pith_short_12: MJ7Q24CDEZKM · pith_short_16: MJ7Q24CDEZKMUYFL · pith_short_8: MJ7Q24CD

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/MJ7Q24CDEZKMUYFL4TID67MLOQ \
  | 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: 627f0d70432654ca60abe4d03f7d8b74176c396069ccdc0290ee196f3bd3ab29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35690720c6488dfd8171e79cb0a2879f43e451a5e9e4a8f79ce4445d91fe7a85",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-01-30T21:06:29Z",
    "title_canon_sha256": "a6faae6c6331d4bb0307f11ce04e09c3c33596bc8c609535043270262afd3732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00161",
    "kind": "arxiv",
    "version": 1
  }
}