Pith Number

pith:NHZXMYVH

pith:2013:NHZXMYVH2RYE4QGMKZU7Z5TOXP

not attested not anchored not stored refs pending

Compressible Euler equation with damping on Torus in arbitrary dimensions

Nan Lu

arxiv:1309.5059 v3 · 2013-09-19 · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NHZXMYVH2RYE4QGMKZU7Z5TOXP}

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	2026-05-18T02:39:48.669376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69f37662a7d4704e40cc5669fcf66ebbc95f1c8106bf9ae4c95f80cbf9ec08ab

Aliases

arxiv: 1309.5059 · arxiv_version: 1309.5059v3 · doi: 10.48550/arxiv.1309.5059 · pith_short_12: NHZXMYVH2RYE · pith_short_16: NHZXMYVH2RYE4QGM · pith_short_8: NHZXMYVH

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/NHZXMYVH2RYE4QGMKZU7Z5TOXP \
  | 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: 69f37662a7d4704e40cc5669fcf66ebbc95f1c8106bf9ae4c95f80cbf9ec08ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d744b150ad7e83fa6b8dc2dc1e0cc8158835692341a770f82dd3e21510f6a2b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-19T17:39:49Z",
    "title_canon_sha256": "30980787353c91824108263a2ee5a876fa2d2d9b862d556376e76e2e33084efb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5059",
    "kind": "arxiv",
    "version": 3
  }
}