Pith Number

pith:4R3GYGF7

pith:2015:4R3GYGF7VZ4XIUJA7UXRBLQ4UF

not attested not anchored not stored refs pending

Affordable, Entropy Conserving and Entropy Stable Flux Functions for the Ideal MHD Equations

Andrew R. Winters, Gregor J. Gassner

arxiv:1509.09311 v1 · 2015-09-30 · 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{4R3GYGF7VZ4XIUJA7UXRBLQ4UF}

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	2026-05-18T01:31:21.747932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4766c18bfae79745120fd2f10ae1ca15563869778eb7da4e38cac967d488de2

Aliases

arxiv: 1509.09311 · arxiv_version: 1509.09311v1 · doi: 10.48550/arxiv.1509.09311 · pith_short_12: 4R3GYGF7VZ4X · pith_short_16: 4R3GYGF7VZ4XIUJA · pith_short_8: 4R3GYGF7

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/4R3GYGF7VZ4XIUJA7UXRBLQ4UF \
  | 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: e4766c18bfae79745120fd2f10ae1ca15563869778eb7da4e38cac967d488de2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8e81706fbf85d8225b9ec13f507ce29d8c1ab747601271d6da526e8537ca2b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-09-30T19:44:13Z",
    "title_canon_sha256": "3d4cf7de383d53072fdc189e17af2c63eedf18f3201046d047bc4a1925627cf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09311",
    "kind": "arxiv",
    "version": 1
  }
}