pith. sign in
Pith Number

pith:2HYY2CG7

pith:2019:2HYY2CG7O2DYXVRXNTBR567Z4Z
not attested not anchored not stored refs pending

Formation of shocks for 2D isentropic compressible Euler

Steve Shkoller, Tristan Buckmaster, Vlad Vicol

arxiv:1907.03784 v1 · 2019-07-08 · math.AP · physics.flu-dyn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2HYY2CG7O2DYXVRXNTBR567Z4Z}

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 2026-05-17T23:41:06.854749Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d1f18d08df76878bd6376cc31efbf9e66cb43118265f05fc5ccb9a2225392267

Aliases

arxiv: 1907.03784 · arxiv_version: 1907.03784v1 · doi: 10.48550/arxiv.1907.03784 · pith_short_12: 2HYY2CG7O2DY · pith_short_16: 2HYY2CG7O2DYXVRX · pith_short_8: 2HYY2CG7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2HYY2CG7O2DYXVRXNTBR567Z4Z \
  | 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: d1f18d08df76878bd6376cc31efbf9e66cb43118265f05fc5ccb9a2225392267
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "dd39af52eb3136f2b4593a9c3cc24c38d25cfd8fe46b525b5a697449393fefa6",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-08T18:01:18Z",
    "title_canon_sha256": "b2c5ef59b1f11d0017dac390312c5aff9712545f7e204e10e4242862c0109634"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03784",
    "kind": "arxiv",
    "version": 1
  }
}