Pith Number

pith:KCH4KV2S

pith:2014:KCH4KV2SS435GEUKYLFD3YC5T3

not attested not anchored not stored refs pending

Darcy's law and diffusion for a two-fluid Euler-Maxwell system with dissipation

Changjiang Zhu, Qingqing liu, Renjun Duan

arxiv:1403.2528 v2 · 2014-03-11 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCH4KV2SS435GEUKYLFD3YC5T3}

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	2026-05-18T02:32:31.634636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

508fc557529737d3128ac2ca3de05d9ed53a4d8063755c042ccf61214105ae6a

Aliases

arxiv: 1403.2528 · arxiv_version: 1403.2528v2 · doi: 10.48550/arxiv.1403.2528 · pith_short_12: KCH4KV2SS435 · pith_short_16: KCH4KV2SS435GEUK · pith_short_8: KCH4KV2S

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/KCH4KV2SS435GEUKYLFD3YC5T3 \
  | 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: 508fc557529737d3128ac2ca3de05d9ed53a4d8063755c042ccf61214105ae6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0694b98d1b5fa4674cf84431d55199c26b8ee20c4a88d81fc8eed49b57ee6480",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-03-11T10:27:11Z",
    "title_canon_sha256": "d39e9e1bdfb16ab9632993d1ffd36b6976d83c072ec987dd0b1e83820be521d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2528",
    "kind": "arxiv",
    "version": 2
  }
}