Pith Number

pith:3T5ZWL6P

pith:2017:3T5ZWL6PNKEOKSDD523XQQOISM

not attested not anchored not stored refs pending

Logarithm cannot be removed in maximum norm error estimates for linear finite elements in 3D

Natalia Kopteva

arxiv:1710.03262 v3 · 2017-10-09 · 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{3T5ZWL6PNKEOKSDD523XQQOISM}

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	2026-05-18T00:02:36.125406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcfb9b2fcf6a88e54863eeb77841c8931fa9a49dce042acf9576ec44ca99a4c7

Aliases

arxiv: 1710.03262 · arxiv_version: 1710.03262v3 · doi: 10.48550/arxiv.1710.03262 · pith_short_12: 3T5ZWL6PNKEO · pith_short_16: 3T5ZWL6PNKEOKSDD · pith_short_8: 3T5ZWL6P

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/3T5ZWL6PNKEOKSDD523XQQOISM \
  | 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: dcfb9b2fcf6a88e54863eeb77841c8931fa9a49dce042acf9576ec44ca99a4c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b44b2bec685e5f2cc455d682a0352bdae771e413c7518ae7fafd0a1e28b47e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-10-09T18:45:41Z",
    "title_canon_sha256": "992a7e140fc01295e3f53c3fc6be20ad1cf4f76975a5f1d5667dba4e6f1c6350"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03262",
    "kind": "arxiv",
    "version": 3
  }
}