Pith Number

pith:3QHQB5H4

pith:2018:3QHQB5H4BRUXO3DAUMZTMJ5OHA

not attested not anchored not stored refs pending

Computing the resolvent of the sum of operators with application to best approximation problems

Hung M. Phan, Minh N. Dao

arxiv:1809.03921 v1 · 2018-09-11 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3QHQB5H4BRUXO3DAUMZTMJ5OHA}

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	2026-05-18T00:05:57.751054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc0f00f4fc0c69776c60a3333627ae380fbb29de709d7935a1aebf434a4162c4

Aliases

arxiv: 1809.03921 · arxiv_version: 1809.03921v1 · doi: 10.48550/arxiv.1809.03921 · pith_short_12: 3QHQB5H4BRUX · pith_short_16: 3QHQB5H4BRUXO3DA · pith_short_8: 3QHQB5H4

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/3QHQB5H4BRUXO3DAUMZTMJ5OHA \
  | 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: dc0f00f4fc0c69776c60a3333627ae380fbb29de709d7935a1aebf434a4162c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4b9de51b0d4eb201103e3f237f8cc103d2b61ba5505520be50c033484405f2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-09-11T14:23:12Z",
    "title_canon_sha256": "03469587e5048196a0555d985dba30ad5dcc2c5e5d5383f8419618c7790a699e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03921",
    "kind": "arxiv",
    "version": 1
  }
}