Pith Number

pith:KTWLI3LF

pith:2020:KTWLI3LFBYYHZW3XAMCVPM6WQY

not attested not anchored not stored refs pending

A comparison of mixed multiscale finite element methods for multiphase transport in highly heterogeneous media

Eric Chung, Shubin Fu, Yiran Wang

arxiv:2008.08744 v1 · 2020-08-20 · 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{KTWLI3LFBYYHZW3XAMCVPM6WQY}

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	2026-07-05T02:47:00.664336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54ecb46d650e307cdb77030557b3d68614ad28ccd64da050b7355c531cf33640

Aliases

arxiv: 2008.08744 · arxiv_version: 2008.08744v1 · doi: 10.48550/arxiv.2008.08744 · pith_short_12: KTWLI3LFBYYH · pith_short_16: KTWLI3LFBYYHZW3X · pith_short_8: KTWLI3LF

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/KTWLI3LFBYYHZW3XAMCVPM6WQY \
  | 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: 54ecb46d650e307cdb77030557b3d68614ad28ccd64da050b7355c531cf33640

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "866583b4b80a2798c884e357cb807b3599e7e4ba90fe8a2dd5b5d362dfadb26b",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-08-20T03:01:08Z",
    "title_canon_sha256": "ca3a5f7db167f6b40b45ae6bc6443569e96d5368ce567c5b5f3c9c35ecc7b1c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.08744",
    "kind": "arxiv",
    "version": 1
  }
}