pith. sign in
Pith Number

pith:NARVNQLK

pith:2012:NARVNQLKFHWRHYO467OKQ2IIRP
not attested not anchored not stored refs pending

Stable Phase Field Approximations of Anisotropic Solidification

Harald Garcke, John W. Barrett, Robert N\"urnberg

arxiv:1210.6791 v1 · 2012-10-25 · math.NA · cond-mat.mtrl-sci · physics.comp-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NARVNQLKFHWRHYO467OKQ2IIRP}

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 2026-05-18T01:59:59.236412Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

682356c16a29ed13e1dcf7dca869088becb1a3bb242ad77e6549a7dacb153077

Aliases

arxiv: 1210.6791 · arxiv_version: 1210.6791v1 · doi: 10.48550/arxiv.1210.6791 · pith_short_12: NARVNQLKFHWR · pith_short_16: NARVNQLKFHWRHYO4 · pith_short_8: NARVNQLK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NARVNQLKFHWRHYO467OKQ2IIRP \
  | 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: 682356c16a29ed13e1dcf7dca869088becb1a3bb242ad77e6549a7dacb153077
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ced3951b07d2db36ac67cfaa99618054ea89619f12ac156350ad564437842876",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-10-25T10:59:39Z",
    "title_canon_sha256": "e7d1a82f37197e299c5c0f22ada235bb3b737d0c6eb26ed87fa91a27e80f4ce8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6791",
    "kind": "arxiv",
    "version": 1
  }
}