Pith Number

pith:4HFRQAJM

pith:2015:4HFRQAJMMRSBL3ZZVUZLJDWRRB

not attested not anchored not stored refs pending

Weak and strong solutions of equations of compressible magnetohydrodynamics

Bernard Ducomet, Xavier Blanc

arxiv:1509.05573 v1 · 2015-09-18 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HFRQAJMMRSBL3ZZVUZLJDWRRB}

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	2026-05-18T01:32:42.830873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1cb18012c646415ef39ad32b48ed18867ab7ac7195a9ab297793090b0c58ad9

Aliases

arxiv: 1509.05573 · arxiv_version: 1509.05573v1 · doi: 10.48550/arxiv.1509.05573 · pith_short_12: 4HFRQAJMMRSB · pith_short_16: 4HFRQAJMMRSBL3ZZ · pith_short_8: 4HFRQAJM

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/4HFRQAJMMRSBL3ZZVUZLJDWRRB \
  | 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: e1cb18012c646415ef39ad32b48ed18867ab7ac7195a9ab297793090b0c58ad9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8483937292d2692ae30025b9b794c537f0f9d9c9de608679dc3ba2c062b3baa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-18T10:21:19Z",
    "title_canon_sha256": "484923f667c55b45eaef9a90e307e96d76963d3d7c0f597c160ac3dccaffa7ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05573",
    "kind": "arxiv",
    "version": 1
  }
}