pith. sign in
Pith Number

pith:CKEYWJDB

pith:2020:CKEYWJDBR7BEZXVC5F5LX53UPV
not attested not anchored not stored refs pending

Numerical Analysis of a Parabolic Variational Inequality System Modeling Biofilm Growth at the Porescale

Azhar Alhammali, Malgorzata Peszynska

arxiv:2001.00362 v1 · 2020-01-02 · math.NA · cs.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CKEYWJDBR7BEZXVC5F5LX53UPV}

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 2026-07-05T00:29:23.479422Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

12898b24618fc24cdea2e97abbf7747d628516dd5db18f167def4449b218ba70

Aliases

arxiv: 2001.00362 · arxiv_version: 2001.00362v1 · doi: 10.48550/arxiv.2001.00362 · pith_short_12: CKEYWJDBR7BE · pith_short_16: CKEYWJDBR7BEZXVC · pith_short_8: CKEYWJDB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CKEYWJDBR7BEZXVC5F5LX53UPV \
  | 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: 12898b24618fc24cdea2e97abbf7747d628516dd5db18f167def4449b218ba70
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "790bbd06ac5e414d5f2b64f2471fc208da2cd9a0e5461ebb5451abd1fc53a865",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-01-02T08:56:36Z",
    "title_canon_sha256": "4ebfaeb72f137a387a1a8d7ded6f85cee19a5001e4694e043706aa22e1290e54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.00362",
    "kind": "arxiv",
    "version": 1
  }
}