Pith Number

pith:LIMR7V3L

pith:2015:LIMR7V3LKPEQ4NMBLZYLCFRNQ7

not attested not anchored not stored refs pending

Decomposition of Three-Dimensional Steady Non-isentropic Compressible Euler System and Stability of Spherically Symmetric Subsonic Flows and Transonic Shocks under Multidimensional Perturbations

Gang Xu, Hairong Yuan, Li Liu

arxiv:1505.02998 v1 · 2015-05-12 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LIMR7V3LKPEQ4NMBLZYLCFRNQ7}

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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	2026-05-18T02:14:09.335531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a191fd76b53c90e35815e70b1162d87c56a8a78877e71513dca0e35512cf07b

Aliases

arxiv: 1505.02998 · arxiv_version: 1505.02998v1 · doi: 10.48550/arxiv.1505.02998 · pith_short_12: LIMR7V3LKPEQ · pith_short_16: LIMR7V3LKPEQ4NMB · pith_short_8: LIMR7V3L

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/LIMR7V3LKPEQ4NMBLZYLCFRNQ7 \
  | 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: 5a191fd76b53c90e35815e70b1162d87c56a8a78877e71513dca0e35512cf07b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ea4e817556cdfd659472bac860b0378fcbd3d6db5f0f1bcf652bf277ebd0e3e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-12T13:26:04Z",
    "title_canon_sha256": "f84340a41d33e394059912f096991fae3cf219d5586f838fac272b9792da2fb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02998",
    "kind": "arxiv",
    "version": 1
  }
}