Pith Number

pith:UFH26FKY

pith:2011:UFH26FKYW3UKNGY6NMO6M2QCPX

not attested not anchored not stored refs pending

Lower Bounds of the Discretization for Piecewise Polynomials

Hehu Xie, Jinchao Xu, Qun Lin

arxiv:1106.4395 v1 · 2011-06-22 · 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{UFH26FKYW3UKNGY6NMO6M2QCPX}

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	2026-05-18T04:19:33.049364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a14faf1558b6e8a69b1e6b1de66a027dc128b71a5d8548691760163da731b0b7

Aliases

arxiv: 1106.4395 · arxiv_version: 1106.4395v1 · doi: 10.48550/arxiv.1106.4395 · pith_short_12: UFH26FKYW3UK · pith_short_16: UFH26FKYW3UKNGY6 · pith_short_8: UFH26FKY

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/UFH26FKYW3UKNGY6NMO6M2QCPX \
  | 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: a14faf1558b6e8a69b1e6b1de66a027dc128b71a5d8548691760163da731b0b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccdf840537a93a6f3e19335ebbb094712549f2235d79b8917baa10e12f00a880",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-06-22T08:57:19Z",
    "title_canon_sha256": "a2d51a2eaca938e7a0a08ba4c56889a8e130cee352b2ad6ea377d5fe11755a98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4395",
    "kind": "arxiv",
    "version": 1
  }
}