Pith Number

pith:4XT2Z45E

pith:2016:4XT2Z45EMEW3GBHQSN5XJO7GMP

not attested not anchored not stored refs pending

Worst-case multi-objective error estimation and adaptivity

E.H. van Brummelen, G.J. van Zwieten, S. Zhuk

arxiv:1604.04541 v1 · 2016-04-15 · math.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{4XT2Z45EMEW3GBHQSN5XJO7GMP}

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	2026-05-18T00:57:12.923012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5e7acf3a4612db304f0937b74bbe663fd0039ede7034d67b63a10659cf09989

Aliases

arxiv: 1604.04541 · arxiv_version: 1604.04541v1 · doi: 10.48550/arxiv.1604.04541 · pith_short_12: 4XT2Z45EMEW3 · pith_short_16: 4XT2Z45EMEW3GBHQ · pith_short_8: 4XT2Z45E

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/4XT2Z45EMEW3GBHQSN5XJO7GMP \
  | 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: e5e7acf3a4612db304f0937b74bbe663fd0039ede7034d67b63a10659cf09989

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bb50830b4aeff12ad260d484a9a62c62ed1ed81693d9f2b03b857b8a279ba67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-04-15T15:35:54Z",
    "title_canon_sha256": "b8d48ce44676b7f0263f20eca9ca62d38edba6c730a5d372a79b2aebb9168f38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04541",
    "kind": "arxiv",
    "version": 1
  }
}