Pith Number

pith:W5VTULRQ

pith:2020:W5VTULRQXP3UT6AMU366WHUNZR

not attested not anchored not stored refs pending

Phase-field dynamics with transfer of materials: The Cahn--Hilliard equation with reaction rate dependent dynamic boundary conditions

Chun Liu, Kei Fong Lam, Patrik Knopf, Stefan Metzger

arxiv:2003.12983 v3 · 2020-03-29 · math.AP · cs.NA · math-ph · math.MP · 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{W5VTULRQXP3UT6AMU366WHUNZR}

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	2026-07-05T02:34:39.390528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b76b3a2e30bbf749f80ca6fdeb1e8dcc662ff3864b130c76b02d1035db837ddc

Aliases

arxiv: 2003.12983 · arxiv_version: 2003.12983v3 · doi: 10.48550/arxiv.2003.12983 · pith_short_12: W5VTULRQXP3U · pith_short_16: W5VTULRQXP3UT6AM · pith_short_8: W5VTULRQ

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/W5VTULRQXP3UT6AMU366WHUNZR \
  | 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: b76b3a2e30bbf749f80ca6fdeb1e8dcc662ff3864b130c76b02d1035db837ddc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47f8e60eda58873b4d44185ea8c177413c070ef55c728a215932de5d8606e29f",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-03-29T09:31:26Z",
    "title_canon_sha256": "7cb8cb8f1ed04b475151b60d485a6dafde162aeecd14a7e6c31c7aa3f1252829"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.12983",
    "kind": "arxiv",
    "version": 3
  }
}