Pith Number

pith:YAAHFJE3

pith:2014:YAAHFJE3UZLP7RPIEOIRRUVLZ6

not attested not anchored not stored refs pending

Div First-Order System LL* (FOSLL*) for Second-Order Elliptic Partial Differential Equations

Rob Falgout, Shun Zhang, Zhiqiang Cai

arxiv:1407.4558 v1 · 2014-07-17 · 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{YAAHFJE3UZLP7RPIEOIRRUVLZ6}

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	2026-05-18T02:47:23.741940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c00072a49ba656ffc5e8239118d2abcf8b7ff0bef01a1363fa6158df7afe2906

Aliases

arxiv: 1407.4558 · arxiv_version: 1407.4558v1 · doi: 10.48550/arxiv.1407.4558 · pith_short_12: YAAHFJE3UZLP · pith_short_16: YAAHFJE3UZLP7RPI · pith_short_8: YAAHFJE3

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/YAAHFJE3UZLP7RPIEOIRRUVLZ6 \
  | 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: c00072a49ba656ffc5e8239118d2abcf8b7ff0bef01a1363fa6158df7afe2906

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75d586f0df97adaeb162d9f7474f98f89b3c86793f305d31a6c307cddbb9c320",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-07-17T05:12:25Z",
    "title_canon_sha256": "a2ae4179c7faf2b7eeaf4e8992b14bfd4432b9d4c1f3fce6824f77492743fffc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4558",
    "kind": "arxiv",
    "version": 1
  }
}