Pith Number

pith:CXLDOCYW

pith:2023:CXLDOCYWXQBWRZYLTAK2ZDEZJ5

not attested not anchored not stored refs pending

A characteristics approach to shock formation in 2D Euler with azimuthal symmetry and entropy

Isaac Neal, Steve Shkoller, Vlad Vicol

arxiv:2302.01289 v1 · 2023-02-02 · 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{CXLDOCYWXQBWRZYLTAK2ZDEZJ5}

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

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler

Receipt and verification

First computed	2026-07-05T05:38:24.638195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15d6370b16bc0368e70b9815ac8c994f58f2c06d7b7e7b934d74320f91a1815b

Aliases

arxiv: 2302.01289 · arxiv_version: 2302.01289v1 · doi: 10.48550/arxiv.2302.01289 · pith_short_12: CXLDOCYWXQBW · pith_short_16: CXLDOCYWXQBWRZYL · pith_short_8: CXLDOCYW

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/CXLDOCYWXQBWRZYLTAK2ZDEZJ5 \
  | 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: 15d6370b16bc0368e70b9815ac8c994f58f2c06d7b7e7b934d74320f91a1815b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7226246af82d37ae4240a6735760989a9e8d910eb2c776c7de2f227a366025ed",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-02-02T18:19:37Z",
    "title_canon_sha256": "a91c51996e6e44736ec940652eecdf438b398926259f769f3ea7360c10edc8f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.01289",
    "kind": "arxiv",
    "version": 1
  }
}