Pith Number

pith:ZHTENZMJ

pith:2012:ZHTENZMJGPN7HVZ3VTO6JAM37A

not attested not anchored not stored refs pending

Energy Stable and Efficient Finite-Difference Nonlinear Multigrid Schemes for the Modified Phase Field Crystal Equation

Arvind Baskaran, Cheng Wang, John S. Lowengrub, Peng Zhou, Steven M. Wise, Zhengzheng Hu

arxiv:1208.2643 v1 · 2012-08-08 · math.NA · cond-mat.mtrl-sci

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHTENZMJGPN7HVZ3VTO6JAM37A}

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	2026-05-18T01:55:16.357961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9e646e58933dbf3d73bacdde4819bf8252dc661a9d6d72d47b1d71c496455e7

Aliases

arxiv: 1208.2643 · arxiv_version: 1208.2643v1 · doi: 10.48550/arxiv.1208.2643 · pith_short_12: ZHTENZMJGPN7 · pith_short_16: ZHTENZMJGPN7HVZ3 · pith_short_8: ZHTENZMJ

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/ZHTENZMJGPN7HVZ3VTO6JAM37A \
  | 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: c9e646e58933dbf3d73bacdde4819bf8252dc661a9d6d72d47b1d71c496455e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "859d3876a0e277cf9e50011f3d0243484816b96dc6eec29d2a3ef25aaeb90e5c",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-08-08T21:37:52Z",
    "title_canon_sha256": "d963b3215e244bdb6b5fd10f533e2595eb1ba9a1e482826c6cfb7f97105b861c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2643",
    "kind": "arxiv",
    "version": 1
  }
}