Pith Number

pith:TVPAW4NE

pith:2012:TVPAW4NEJYT6XCVB66QUL4JF6V

not attested not anchored not stored refs pending

Coupling techniques for nonlinear hyperbolic equations. III. The well-balanced approximation of thick interfaces

Benjamin Boutin, Fr\'ed\'eric Coquel, Philippe G. LeFloch

arxiv:1205.2437 v2 · 2012-05-11 · math.AP · cs.NA · 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{TVPAW4NEJYT6XCVB66QUL4JF6V}

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	2026-06-03T23:07:18.985499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d5e0b71a44e27eb8aa1f7a145f125f54c8afeb49d952f0fc5bb4d5d9b40b853

Aliases

arxiv: 1205.2437 · arxiv_version: 1205.2437v2 · doi: 10.48550/arxiv.1205.2437 · pith_short_12: TVPAW4NEJYT6 · pith_short_16: TVPAW4NEJYT6XCVB · pith_short_8: TVPAW4NE

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/TVPAW4NEJYT6XCVB66QUL4JF6V \
  | 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: 9d5e0b71a44e27eb8aa1f7a145f125f54c8afeb49d952f0fc5bb4d5d9b40b853

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c518dce55144e7e789083d717b40006f1178c0c9ada954692d958b808c3cc5a",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-11T06:11:30Z",
    "title_canon_sha256": "1bf1f2222f2c87cac038243c51616300044ee0668a4b2b4255a256e37acb5dc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2437",
    "kind": "arxiv",
    "version": 2
  }
}