Pith Number

pith:M5ADHHBY

pith:2015:M5ADHHBYUKLUY2U2YFMGRJMQZT

not attested not anchored not stored refs pending

An introduction to the analysis and implementation of sparse grid finite element methods

Niall Madden, Stephen Russell

arxiv:1511.07193 v1 · 2015-11-23 · 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{M5ADHHBYUKLUY2U2YFMGRJMQZT}

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	2026-05-18T01:26:11.990824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6740339c38a2974c6a9ac15868a590cce1e8abda5c586b066f080aa524ce6949

Aliases

arxiv: 1511.07193 · arxiv_version: 1511.07193v1 · doi: 10.48550/arxiv.1511.07193 · pith_short_12: M5ADHHBYUKLU · pith_short_16: M5ADHHBYUKLUY2U2 · pith_short_8: M5ADHHBY

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/M5ADHHBYUKLUY2U2YFMGRJMQZT \
  | 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: 6740339c38a2974c6a9ac15868a590cce1e8abda5c586b066f080aa524ce6949

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "789eeab06f7674cc0a87aa45731d3429defce9dd84d7de9ea4f5abcd7684465c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-11-23T12:21:05Z",
    "title_canon_sha256": "b91d4e10caa64068060ad8ceef1882b291efff46e18efa0b6fa4d6b460d87312"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07193",
    "kind": "arxiv",
    "version": 1
  }
}