Pith Number

pith:FUUFTFFN

pith:2015:FUUFTFFN5ONWZ6GSQO7C47Q2W5

not attested not anchored not stored refs pending

Sparse Generalized Multiscale Finite Element Methods and their applications

Eric Chung, Guanglian Li, Wing Tat Leung, Yalchin Efendiev

arxiv:1506.08509 v2 · 2015-06-29 · 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{FUUFTFFN5ONWZ6GSQO7C47Q2W5}

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	2026-05-18T01:35:59.496971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d285994adeb9b6cf8d283be2e7e1ab775de0203c2da7f1db61a7bb5aaacac17

Aliases

arxiv: 1506.08509 · arxiv_version: 1506.08509v2 · doi: 10.48550/arxiv.1506.08509 · pith_short_12: FUUFTFFN5ONW · pith_short_16: FUUFTFFN5ONWZ6GS · pith_short_8: FUUFTFFN

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/FUUFTFFN5ONWZ6GSQO7C47Q2W5 \
  | 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: 2d285994adeb9b6cf8d283be2e7e1ab775de0203c2da7f1db61a7bb5aaacac17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59e6cb6a4c06d3118c90898251b11b286baa647c3016bfaf142c1cb6edf3a0b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-06-29T04:52:20Z",
    "title_canon_sha256": "a7a95099200f350dcfc6a3fba7e5381769c9d231896aa1e99789d49cc30852c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08509",
    "kind": "arxiv",
    "version": 2
  }
}