Pith Number

pith:HHBKVQHL

pith:2026:HHBKVQHLCGDUG7QDYMAMGGTYIV

not attested not anchored not stored refs pending

An Efficient Solver for the Richards Equation for Variably Saturated Flows in Porous Media

Qi Wang, Xuelong Gu

arxiv:2606.04292 v1 · 2026-06-02 · 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{HHBKVQHLCGDUG7QDYMAMGGTYIV}

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	2026-06-04T01:09:02.290230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39c2aac0eb1187437e03c300c31a78457edd6929a30d49354780311990c8ba45

Aliases

arxiv: 2606.04292 · arxiv_version: 2606.04292v1 · doi: 10.48550/arxiv.2606.04292 · pith_short_12: HHBKVQHLCGDU · pith_short_16: HHBKVQHLCGDUG7QD · pith_short_8: HHBKVQHL

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/HHBKVQHLCGDUG7QDYMAMGGTYIV \
  | 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: 39c2aac0eb1187437e03c300c31a78457edd6929a30d49354780311990c8ba45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98e2d79871a7ba4393d183f6172b6a81e0b040df12202f35e7c398af83bab492",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-02T23:44:51Z",
    "title_canon_sha256": "887144383fc5f8e72cb09e14f111c65440b31f97f0e8e44bdb3e687f274f3053"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04292",
    "kind": "arxiv",
    "version": 1
  }
}