Pith Number

pith:XP3HRLK7

pith:2014:XP3HRLK76MWSJZXDKQYJPWBL3L

not attested not anchored not stored refs pending

Multivariate discrete least-squares approximations with a new type of collocation grid

Akil Narayan, Tao Zhou, Zhiqiang Xu

arxiv:1401.0894 v1 · 2014-01-05 · 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{XP3HRLK76MWSJZXDKQYJPWBL3L}

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	2026-05-18T03:03:11.608227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbf678ad5ff32d24e6e3543097d82bdae01891fc5e8b19639d0c0bf2954e9620

Aliases

arxiv: 1401.0894 · arxiv_version: 1401.0894v1 · doi: 10.48550/arxiv.1401.0894 · pith_short_12: XP3HRLK76MWS · pith_short_16: XP3HRLK76MWSJZXD · pith_short_8: XP3HRLK7

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/XP3HRLK76MWSJZXDKQYJPWBL3L \
  | 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: bbf678ad5ff32d24e6e3543097d82bdae01891fc5e8b19639d0c0bf2954e9620

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "743e15cc1c39b9708468c206565f5d7f93e3c9503634d5f6935238fb6e9e320d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-01-05T14:13:12Z",
    "title_canon_sha256": "2c9cf750600ee64ea60fd63355a46fcf3d7c4a1241a823ee6e3daa4d4ea97f7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0894",
    "kind": "arxiv",
    "version": 1
  }
}