Pith Number

pith:XP2NKNPK

pith:2016:XP2NKNPKOX5EAUACC2HBXFWVTH

not attested not anchored not stored refs pending

Geometric Multigrid for Darcy and Brinkman models of flows in highly heterogeneous porous media: A numerical study

Guido Kanschat, Raytcho Lazarov, Youli Mao

arxiv:1602.04858 v2 · 2016-02-15 · math.NA · cs.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{XP2NKNPKOX5EAUACC2HBXFWVTH}

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	2026-06-04T17:10:01.754212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbf4d535ea75fa405002168e1b96d599f58cf4a47bb3dfdc8b84390ed3295fce

Aliases

arxiv: 1602.04858 · arxiv_version: 1602.04858v2 · doi: 10.48550/arxiv.1602.04858 · pith_short_12: XP2NKNPKOX5E · pith_short_16: XP2NKNPKOX5EAUAC · pith_short_8: XP2NKNPK

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/XP2NKNPKOX5EAUACC2HBXFWVTH \
  | 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: bbf4d535ea75fa405002168e1b96d599f58cf4a47bb3dfdc8b84390ed3295fce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c0261e4b9f209d4415b419cd0f3d9de00eed365f31ba7aefcf8408c21970aa9",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-02-15T22:50:02Z",
    "title_canon_sha256": "2b92161cfab6b646e5b8518953120fe08bf42fe81d2a5daf572c99f589fe4540"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04858",
    "kind": "arxiv",
    "version": 2
  }
}