Pith Number

pith:54FWBH2M

pith:2026:54FWBH2MZNP4WFQOM7TEN3KJKM

not attested not anchored not stored refs pending

Convergence of a discrete-in-time Approximation to a Degenerate Parabolic-Hyperbolic System

Hideki Murakawa, Julia Hauser, Markus Schmidtchen

arxiv:2606.05879 v1 · 2026-06-04 · 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{54FWBH2MZNP4WFQOM7TEN3KJKM}

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	2026-06-05T01:15:06.624516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef0b609f4ccb5fcb160e67e646ed495320d433bbfd68cd690912b615b04561ba

Aliases

arxiv: 2606.05879 · arxiv_version: 2606.05879v1 · doi: 10.48550/arxiv.2606.05879 · pith_short_12: 54FWBH2MZNP4 · pith_short_16: 54FWBH2MZNP4WFQO · pith_short_8: 54FWBH2M

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/54FWBH2MZNP4WFQOM7TEN3KJKM \
  | 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: ef0b609f4ccb5fcb160e67e646ed495320d433bbfd68cd690912b615b04561ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0a5b1b7498c65a587decca15690fd60476fca9c85dd7c3aba2d5613e527f7f6",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-04T08:52:35Z",
    "title_canon_sha256": "428d6e817592cc0c405a23055666e75945cb4f982d035cec8c5be80d642d02e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05879",
    "kind": "arxiv",
    "version": 1
  }
}