Pith Number

pith:SWQI6QQO

pith:2019:SWQI6QQOUSIQBIJH3MTBCM2KP7

not attested not anchored not stored refs pending

On the implosion of a three dimensional compressible fluid

Frank Merle, Igor Rodnianski, Jeremie Szeftel, Pierre Raphael

arxiv:1912.11009 v2 · 2019-12-23 · 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{SWQI6QQOUSIQBIJH3MTBCM2KP7}

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.

Cited by

1 paper in Pith

Magnetic Stabilization of Compressible Flows: Global Existence in 3D Inviscid Non-Isentropic MHD Equations

Receipt and verification

First computed	2026-07-05T01:10:31.546643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95a08f420ea49100a127db2611334a7fc79cf2e254d44f535b77adf0e87bed66

Aliases

arxiv: 1912.11009 · arxiv_version: 1912.11009v2 · doi: 10.48550/arxiv.1912.11009 · pith_short_12: SWQI6QQOUSIQ · pith_short_16: SWQI6QQOUSIQBIJH · pith_short_8: SWQI6QQO

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/SWQI6QQOUSIQBIJH3MTBCM2KP7 \
  | 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: 95a08f420ea49100a127db2611334a7fc79cf2e254d44f535b77adf0e87bed66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e847ef1b26b5f9645eb94be11ac0c12d885e6e88d48b03aee9717e54d4d7c21a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-12-23T18:11:00Z",
    "title_canon_sha256": "8d66ecf4d401eb9714eefccfde04dc2c6f21acb439e4928d68710d9e0066578d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.11009",
    "kind": "arxiv",
    "version": 2
  }
}