Pith Number

pith:NUMADJB7

pith:2015:NUMADJB7PVWZBBQDH3QPCX7PIG

not attested not anchored not stored refs pending

Gradient discretization of Hybrid Dimensional Darcy Flows in Fractured Porous Media with discontinuous pressures at the matrix fracture interfaces

JAD), J. Hennicker (COFFEE, K. Brenner (COFFEE, P. Samier, R. Masson (COFFEE

arxiv:1509.01945 v1 · 2015-09-07 · 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{NUMADJB7PVWZBBQDH3QPCX7PIG}

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	2026-05-18T01:33:50.094678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d1801a43f7d6d9086033ee0f15fef41abf962af7b133eb5a18e74d15b4bfbfe

Aliases

arxiv: 1509.01945 · arxiv_version: 1509.01945v1 · doi: 10.48550/arxiv.1509.01945 · pith_short_12: NUMADJB7PVWZ · pith_short_16: NUMADJB7PVWZBBQD · pith_short_8: NUMADJB7

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/NUMADJB7PVWZBBQDH3QPCX7PIG \
  | 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: 6d1801a43f7d6d9086033ee0f15fef41abf962af7b133eb5a18e74d15b4bfbfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "414e3ba74b3c2579cce8ddab1b06b8b52de7e5aa12daf7bc9c697dc924548bdd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-09-07T08:30:02Z",
    "title_canon_sha256": "13343f3820b55b366202f95134f7dec7552965cbda80c0e8b1372c2e4a9e7659"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01945",
    "kind": "arxiv",
    "version": 1
  }
}