Pith Number

pith:7MJPDYOG

pith:2019:7MJPDYOGLUBKYFIXEKHDI7HQKZ

not attested not anchored not stored refs pending

Entropy stable numerical approximations for the isothermal and polytropic Euler equations

Andrew R. Winters, Christof Czernik, Gregor J. Gassner, Moritz B. Schily

arxiv:1907.03287 v1 · 2019-07-07 · math.NA · cs.NA · physics.comp-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7MJPDYOGLUBKYFIXEKHDI7HQKZ}

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	2026-05-17T23:41:16.664519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb12f1e1c65d02ac1517228e347cf0565c24ec9b418ea886fe2851093534b0ed

Aliases

arxiv: 1907.03287 · arxiv_version: 1907.03287v1 · doi: 10.48550/arxiv.1907.03287 · pith_short_12: 7MJPDYOGLUBK · pith_short_16: 7MJPDYOGLUBKYFIX · pith_short_8: 7MJPDYOG

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/7MJPDYOGLUBKYFIXEKHDI7HQKZ \
  | 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: fb12f1e1c65d02ac1517228e347cf0565c24ec9b418ea886fe2851093534b0ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ad3fdbd276fa7998d809bbc69c4fa7644afa785784073cb5db42535cdc946b0",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-07-07T13:39:34Z",
    "title_canon_sha256": "610069beb28b6c16d67db2a44506608ce84c8e2f127bbdd5db1025f03316d207"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03287",
    "kind": "arxiv",
    "version": 1
  }
}