Pith Number

pith:H4WIRIAN

pith:2013:H4WIRIANAX7ILKH5WCXNKBXGVX

not attested not anchored not stored refs pending

Mathematical analysis of a discrete fracture model coupling Darcy flow in the matrix with Darcy-Forchheimer flow in the fracture

Jean Roberts (Inria Paris-Rocquencourt), Peter Knabner

arxiv:1401.0193 v1 · 2013-12-31 · 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{H4WIRIANAX7ILKH5WCXNKBXGVX}

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	2026-05-17T23:53:14.774192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f2c88a00d05fe85a8fdb0aed506e6add95875e60a058fd44ef7867f06cd2896

Aliases

arxiv: 1401.0193 · arxiv_version: 1401.0193v1 · doi: 10.48550/arxiv.1401.0193 · pith_short_12: H4WIRIANAX7I · pith_short_16: H4WIRIANAX7ILKH5 · pith_short_8: H4WIRIAN

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/H4WIRIANAX7ILKH5WCXNKBXGVX \
  | 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: 3f2c88a00d05fe85a8fdb0aed506e6add95875e60a058fd44ef7867f06cd2896

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ada936fca175e971a4934eb3688de84a40b9bba3517a68462776e0b766f6019",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2013-12-31T17:13:44Z",
    "title_canon_sha256": "e6c95c1a8cb98ad1c14d1fc6662a2cf4ac9f0aec9c346f5e06f9c836075968db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0193",
    "kind": "arxiv",
    "version": 1
  }
}