Pith Number

pith:S426VP3Q

pith:2018:S426VP3QG6R2ZXYJA24DB4W4UZ

not attested not anchored not stored refs pending

A Posteriori Error Estimate and Adaptive Mesh Refinement Algorithm for Atomistic/Continuum Coupling with Finite Range Interactions in Two Dimensions

Lei Zhang, Mingjie Liao, Ping Lin

arxiv:1806.11106 v1 · 2018-06-28 · 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{S426VP3QG6R2ZXYJA24DB4W4UZ}

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	2026-05-18T00:12:03.528160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9735eabf7037a3acdf0906b830f2dca67972875c4f019ccde264d83e578a60bf

Aliases

arxiv: 1806.11106 · arxiv_version: 1806.11106v1 · doi: 10.48550/arxiv.1806.11106 · pith_short_12: S426VP3QG6R2 · pith_short_16: S426VP3QG6R2ZXYJ · pith_short_8: S426VP3Q

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/S426VP3QG6R2ZXYJA24DB4W4UZ \
  | 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: 9735eabf7037a3acdf0906b830f2dca67972875c4f019ccde264d83e578a60bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29ef11c45d76f7c5b3e41a1d668bf145047b2b6d506aad2292491e94a50c59ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-06-28T09:07:57Z",
    "title_canon_sha256": "9845039f8d329fc05e1209a6738a92e8878b247bc50076c3a1895a2a8131ff06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.11106",
    "kind": "arxiv",
    "version": 1
  }
}