Pith Number

pith:PRAJVNX5

pith:2016:PRAJVNX53S3L4GHMSNTNXVW6AC

not attested not anchored not stored refs pending

Parallel Vertex Approximate Gradient discretization of hybrid dimensional Darcy flow and transport in discrete fracture networks

BRGM), Coffee, COFFEE), Feng Xing (JAD, Roland Masson (JAD, Simon Lopez (BRGM)

arxiv:1602.03641 v2 · 2016-02-11 · math.NA · cs.CE · cs.NA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRAJVNX53S3L4GHMSNTNXVW6AC}

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	2026-05-18T00:58:04.260154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c409ab6fddcb6be18ec9366dbd6de00bbeb09982da407dd6d6522eea056c03f

Aliases

arxiv: 1602.03641 · arxiv_version: 1602.03641v2 · doi: 10.48550/arxiv.1602.03641 · pith_short_12: PRAJVNX53S3L · pith_short_16: PRAJVNX53S3L4GHM · pith_short_8: PRAJVNX5

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/PRAJVNX53S3L4GHMSNTNXVW6AC \
  | 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: 7c409ab6fddcb6be18ec9366dbd6de00bbeb09982da407dd6d6522eea056c03f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3748f7e351fd08b7fa2a30f215f8b65b5b84509d5ea93397c1b23585eb441bfe",
    "cross_cats_sorted": [
      "cs.CE",
      "cs.NA",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-02-11T08:26:07Z",
    "title_canon_sha256": "1286533fd9ca15d30873fd7ce89fcbfc2508833f943d7d3230e9b490cc340444"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03641",
    "kind": "arxiv",
    "version": 2
  }
}