Pith Number

pith:VE2IXWOK

pith:2020:VE2IXWOKO3HCAQ3AR5KJEJSVEJ

not attested not anchored not stored refs pending

Homogenization of two-phase flow in porous media from Pore to Darcy Scale: A phase-field approach

Peter Knabner, Stefan Metzger

arxiv:2002.02531 v1 · 2020-01-30 · physics.flu-dyn · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VE2IXWOKO3HCAQ3AR5KJEJSVEJ}

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	2026-07-05T02:19:53.667167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9348bd9ca76ce2043608f549226552273fb229f2a991096be9f23f926892cf3

Aliases

arxiv: 2002.02531 · arxiv_version: 2002.02531v1 · doi: 10.48550/arxiv.2002.02531 · pith_short_12: VE2IXWOKO3HC · pith_short_16: VE2IXWOKO3HCAQ3A · pith_short_8: VE2IXWOK

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/VE2IXWOKO3HCAQ3AR5KJEJSVEJ \
  | 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: a9348bd9ca76ce2043608f549226552273fb229f2a991096be9f23f926892cf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34d4faac9b7d60cd604573ac7466b347f0f47374a9b2cabfc9e81cdebc79d1e8",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2020-01-30T16:20:55Z",
    "title_canon_sha256": "d845172cb9ad6b34daa43bf902c58858772552d55e35f98785ee899aff099f1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.02531",
    "kind": "arxiv",
    "version": 1
  }
}