Pith Number

pith:PNQ33NRU

pith:2018:PNQ33NRUBNUVKOPOZK3LMWFSIL

not attested not anchored not stored refs pending

Geometric multigrid methods for Darcy-Forchheimer flow in fractured porous media

Andr\'es Arrar\'as, Carmen Rodrigo, Francisco J. Gaspar, Laura Portero

arxiv:1811.02988 v1 · 2018-11-06 · 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{PNQ33NRUBNUVKOPOZK3LMWFSIL}

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	2026-05-18T00:01:20.191161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b61bdb6340b695539eecab6b658b242d6b052e1d6fd196eb78eb30cc3b2c9e2

Aliases

arxiv: 1811.02988 · arxiv_version: 1811.02988v1 · doi: 10.48550/arxiv.1811.02988 · pith_short_12: PNQ33NRUBNUV · pith_short_16: PNQ33NRUBNUVKOPO · pith_short_8: PNQ33NRU

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/PNQ33NRUBNUVKOPOZK3LMWFSIL \
  | 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: 7b61bdb6340b695539eecab6b658b242d6b052e1d6fd196eb78eb30cc3b2c9e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "875ec849aac8e2ce3fecfdfcde821ee93161f0356ed49089b17796abbcbe96d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-11-06T14:31:51Z",
    "title_canon_sha256": "a01ef457d027117c70640018bd89e91886b977cb77b24ae7780179d8f3ecb4ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02988",
    "kind": "arxiv",
    "version": 1
  }
}