Pith Number

pith:ONYZ3UEG

pith:2026:ONYZ3UEGMUV2YRZIOYAMRUNXCA

not attested not anchored not stored refs pending

Nonlinear Stability and Instability of Finite-Energy Solutions of the Compressible Euler-Riesz Equations with General Pressure Laws

Difan Yuan, Gui-Qiang G. Chen, Jose A. Carrillo, Samuel R. Charles

arxiv:2607.26782 v1 · 2026-07-29 · math.AP · math-ph · math.FA · math.MP · physics.bio-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{ONYZ3UEGMUV2YRZIOYAMRUNXCA}

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	2026-07-30T01:22:17.424795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

73719dd086652bac47287600c8d1b710245fe36397ed7c36832d5c9138204d54

Aliases

arxiv: 2607.26782 · arxiv_version: 2607.26782v1 · doi: 10.48550/arxiv.2607.26782 · pith_short_12: ONYZ3UEGMUV2 · pith_short_16: ONYZ3UEGMUV2YRZI · pith_short_8: ONYZ3UEG

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/ONYZ3UEGMUV2YRZIOYAMRUNXCA \
  | 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: 73719dd086652bac47287600c8d1b710245fe36397ed7c36832d5c9138204d54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18c199924c4aec383d353c02810c77a91f59e2a73591d2d0cea410e3a0bdfba8",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP",
      "physics.bio-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-29T11:25:15Z",
    "title_canon_sha256": "7dcb5b6bcafbbc3013939465d473ff4dcfa4fb941051cf3f5a9412fce5467ba0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26782",
    "kind": "arxiv",
    "version": 1
  }
}