Pith Number

pith:LZHNE7RP

pith:2012:LZHNE7RP4AEB6ZMTUAFPJWX6GP

not attested not anchored not stored refs pending

Finite difference schemes for the symmetric Keyfitz-Kranzer system

N. H. Risebro, U. Koley

arxiv:1209.2000 v2 · 2012-09-10 · math.AP · 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{LZHNE7RP4AEB6ZMTUAFPJWX6GP}

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	2026-05-18T01:54:37.664065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e4ed27e2fe0081f6593a00af4dafe33dc221bf0dc7d1b44013b531b02368210

Aliases

arxiv: 1209.2000 · arxiv_version: 1209.2000v2 · doi: 10.48550/arxiv.1209.2000 · pith_short_12: LZHNE7RP4AEB · pith_short_16: LZHNE7RP4AEB6ZMT · pith_short_8: LZHNE7RP

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/LZHNE7RP4AEB6ZMTUAFPJWX6GP \
  | 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: 5e4ed27e2fe0081f6593a00af4dafe33dc221bf0dc7d1b44013b531b02368210

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11546e114d4f37f0985172cb05985edd467d2402d1dd345fdc06af674737fa1f",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-10T14:07:49Z",
    "title_canon_sha256": "d66ddfbb0f7fa47cda0b32f52e228031c8b97b86a9f48842e170871fe829efea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2000",
    "kind": "arxiv",
    "version": 2
  }
}