Pith Number

pith:UPLVVBNN

pith:2015:UPLVVBNNDS5PFOUAOTC6SPP2WC

not attested not anchored not stored refs pending

Finite Element Methods for Interface Problems: Robust and Local Optimal A Priori Error Estimates

Shun Zhang, Zhiqiang Cai

arxiv:1509.08166 v2 · 2015-09-28 · 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{UPLVVBNNDS5PFOUAOTC6SPP2WC}

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	2026-05-18T01:29:29.180340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3d75a85ad1cbaf2ba8074c5e93dfab0a858b3c1e7576d1d741bdcdc485cfda2

Aliases

arxiv: 1509.08166 · arxiv_version: 1509.08166v2 · doi: 10.48550/arxiv.1509.08166 · pith_short_12: UPLVVBNNDS5P · pith_short_16: UPLVVBNNDS5PFOUA · pith_short_8: UPLVVBNN

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/UPLVVBNNDS5PFOUAOTC6SPP2WC \
  | 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: a3d75a85ad1cbaf2ba8074c5e93dfab0a858b3c1e7576d1d741bdcdc485cfda2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f52e6226876ae4cf21496ac3d9bd043ee561b63ea91a5ec282ae3b38c73e7d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-09-28T00:59:10Z",
    "title_canon_sha256": "0fb374bf3c73bbffac413a0e0b7296f20404bf542d0affa2d72c1c64e904d6ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08166",
    "kind": "arxiv",
    "version": 2
  }
}