Pith Number

pith:LKE7ZPOU

pith:2021:LKE7ZPOU2GXZUYO3COMGKNFB6H

not attested not anchored not stored refs pending

Flow and Transport in Three-Dimensional Discrete Fracture Matrix Models using Mimetic Finite Difference on a Conforming Multi-Dimensional Mesh

Carl W. Gable, Daniil Svyatsky, J. David Moulton, Jeffrey D. Hyman, Konstantin Lipnikov, Matthew R. Sweeney

arxiv:2112.12592 v1 · 2021-12-20 · cs.CE · cs.NA · 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{LKE7ZPOU2GXZUYO3COMGKNFB6H}

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	2026-07-05T04:43:38.177732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a89fcbdd4d1af9a61db13986534a1f1f2ec86c75505f116c1ab55086f955d07

Aliases

arxiv: 2112.12592 · arxiv_version: 2112.12592v1 · doi: 10.48550/arxiv.2112.12592 · pith_short_12: LKE7ZPOU2GXZ · pith_short_16: LKE7ZPOU2GXZUYO3 · pith_short_8: LKE7ZPOU

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/LKE7ZPOU2GXZUYO3COMGKNFB6H \
  | 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: 5a89fcbdd4d1af9a61db13986534a1f1f2ec86c75505f116c1ab55086f955d07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d29e201c6993fdca75f48c89b4df5ca08b0c9a762b189e4fa7321d3f554f0bb",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2021-12-20T21:16:27Z",
    "title_canon_sha256": "4efbd1ec118fed2aede270a4057bde864a440123fb0b2c4d2253d83a714d336c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.12592",
    "kind": "arxiv",
    "version": 1
  }
}