Pith Number

pith:B4VDZZX4

pith:2024:B4VDZZX4ZJFSS4IXBM267ACPOW

not attested not anchored not stored refs pending

An Efficient Finite Difference-based Implicit Solver for Phase-Field Equations with Spatially and Temporally Varying Parameters

G. R. Liu, Michael J. Demkowicz, Zirui Mao

arxiv:2401.12147 v1 · 2024-01-22 · math.NA · cs.NA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B4VDZZX4ZJFSS4IXBM267ACPOW}

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	2026-07-05T07:36:15.771710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f2a3ce6fcca4b2971170b35ef804f75b6eb832b52416c4d059db2800c2e7563

Aliases

arxiv: 2401.12147 · arxiv_version: 2401.12147v1 · doi: 10.48550/arxiv.2401.12147 · pith_short_12: B4VDZZX4ZJFS · pith_short_16: B4VDZZX4ZJFSS4IX · pith_short_8: B4VDZZX4

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/B4VDZZX4ZJFSS4IXBM267ACPOW \
  | 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: 0f2a3ce6fcca4b2971170b35ef804f75b6eb832b52416c4d059db2800c2e7563

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68529b59c087a194e7821bb1aae678e362d8bfffb16966604f90c274b7697c3a",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-01-22T17:30:49Z",
    "title_canon_sha256": "da5de5a5a3954098be1ba10f3a2f04770caca8464dfb3e3adca5f538a8f5ed0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.12147",
    "kind": "arxiv",
    "version": 1
  }
}