Pith Number

pith:Q77CVRLP

pith:2011:Q77CVRLPT7KZDSCCCCMH6EH4NC

not attested not anchored not stored refs pending

Construction and sharp consistency estimates for atomistic/continuum coupling methods with general interfaces: a 2D model problem

Christoph Ortner, Lei Zhang

arxiv:1110.0168 v1 · 2011-10-02 · 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{Q77CVRLPT7KZDSCCCCMH6EH4NC}

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	2026-05-18T04:11:50.638407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87fe2ac56f9fd591c84210987f10fc68a85eec91205f98c681c8fcd21ba921df

Aliases

arxiv: 1110.0168 · arxiv_version: 1110.0168v1 · doi: 10.48550/arxiv.1110.0168 · pith_short_12: Q77CVRLPT7KZ · pith_short_16: Q77CVRLPT7KZDSCC · pith_short_8: Q77CVRLP

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/Q77CVRLPT7KZDSCCCCMH6EH4NC \
  | 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: 87fe2ac56f9fd591c84210987f10fc68a85eec91205f98c681c8fcd21ba921df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c51c5d1dfe7d6c5bfd29a0933cf4373ade410328e3d70246b57d72b2a1adf87c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-10-02T10:47:35Z",
    "title_canon_sha256": "319dbd36a01a7f87194a8880f924d996bbbd485d67d17e1b960d8d60f2e67811"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0168",
    "kind": "arxiv",
    "version": 1
  }
}