Pith Number

pith:NHBKBUIN

pith:2018:NHBKBUINHXEE7C2YG27LX6OWZO

not attested not anchored not stored refs pending

A discrete Gr\"{o}nwall inequality with application to numerical schemes for subdiffusion problems

Hong-lin Liao, Jiwei Zhang, William McLean

arxiv:1803.09879 v3 · 2018-03-27 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NHBKBUINHXEE7C2YG27LX6OWZO}

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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.

Cited by

1 paper in Pith

Form and Function: Machine Unlearning as a Problem of Misaligned States

Receipt and verification

First computed	2026-06-04T19:11:44.202225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69c2a0d10d3dc84f8b5836bebbf9d6cb923b7284693829cd65d0f9e8d8612d89

Aliases

arxiv: 1803.09879 · arxiv_version: 1803.09879v3 · doi: 10.48550/arxiv.1803.09879 · pith_short_12: NHBKBUINHXEE · pith_short_16: NHBKBUINHXEE7C2Y · pith_short_8: NHBKBUIN

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/NHBKBUINHXEE7C2YG27LX6OWZO \
  | 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: 69c2a0d10d3dc84f8b5836bebbf9d6cb923b7284693829cd65d0f9e8d8612d89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ea5826cb73be1befc6209e85577e407cb274e66283808f11d810d7c48c0870a",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-03-27T03:38:22Z",
    "title_canon_sha256": "d904c6163d89ebfef5ee83bf7df2278aef0b495e18f145ad78de57669862e14c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09879",
    "kind": "arxiv",
    "version": 3
  }
}