Pith Number

pith:EGNNQ5T5

pith:2016:EGNNQ5T55CCOGA5J6SLG3I5CT2

not attested not anchored not stored refs pending

A Newton multigrid method for steady-state shallow water equations with topography and dry areas

Huazhong Tang, Kailiang Wu

arxiv:1608.06721 v1 · 2016-08-24 · 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{EGNNQ5T55CCOGA5J6SLG3I5CT2}

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	2026-05-18T00:34:57.826168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

219ad8767de884e303a9f4966da3a29e904365bc73a393540e2448da4eeeaca8

Aliases

arxiv: 1608.06721 · arxiv_version: 1608.06721v1 · doi: 10.48550/arxiv.1608.06721 · pith_short_12: EGNNQ5T55CCO · pith_short_16: EGNNQ5T55CCOGA5J · pith_short_8: EGNNQ5T5

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/EGNNQ5T55CCOGA5J6SLG3I5CT2 \
  | 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: 219ad8767de884e303a9f4966da3a29e904365bc73a393540e2448da4eeeaca8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79c3e4de7d864694c0f9a93c872eb45fa7caff81ea5dd47241ea430e4dfdf317",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-08-24T05:59:49Z",
    "title_canon_sha256": "4ac9ee8bae9428b240bfd76f267841a0d2c1d8b5f322c8617fef8e1b8b99c31d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06721",
    "kind": "arxiv",
    "version": 1
  }
}