Pith Number

pith:X7FNI5NL

pith:2026:X7FNI5NL54VPVCIPGT5XNRPUV4

not attested not anchored not stored refs pending

Multicontinuum Generalized Multiscale Finite Element Method (MC-GMsFEM). Theory and applications to upscaling of two-phase flow

Dmitry Ammosov, Mohammed Al Kobaisi, Wing Tat Leung, Yalchin Efendiev

arxiv:2606.01303 v1 · 2026-05-31 · 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{X7FNI5NL54VPVCIPGT5XNRPUV4}

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	2026-06-02T02:04:29.548644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfcad475abef2afa890f34fb76c5f4af2ba5d9415230baf41c1a243d6bb5bc3c

Aliases

arxiv: 2606.01303 · arxiv_version: 2606.01303v1 · doi: 10.48550/arxiv.2606.01303 · pith_short_12: X7FNI5NL54VP · pith_short_16: X7FNI5NL54VPVCIP · pith_short_8: X7FNI5NL

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/X7FNI5NL54VPVCIPGT5XNRPUV4 \
  | 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: bfcad475abef2afa890f34fb76c5f4af2ba5d9415230baf41c1a243d6bb5bc3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a4d4bdff5da6da46ce0822d885c3ef519db743924a34b4a16112e12c47e2116",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-05-31T15:47:57Z",
    "title_canon_sha256": "c411997146d36ac993fd6175a21a5bc3dbd2207de721ff31d9890a5db6e1cf3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01303",
    "kind": "arxiv",
    "version": 1
  }
}