Pith Number

pith:USFS5DXL

pith:2008:USFS5DXLOR2BVJ3WLFIQWW5OMB

not attested not anchored not stored refs pending

Finite energy solutions to the isentropic Euler equations with geometric effects

Michael Westdickenberg, Philippe G. LeFloch

arxiv:0812.2688 v1 · 2008-12-14 · math.AP · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{USFS5DXLOR2BVJ3WLFIQWW5OMB}

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	2026-06-03T23:06:09.843699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a48b2e8eeb74741aa77659510b5bae60568b7f50a2d0b6ec2751a2eae01f702b

Aliases

arxiv: 0812.2688 · arxiv_version: 0812.2688v1 · doi: 10.48550/arxiv.0812.2688 · pith_short_12: USFS5DXLOR2B · pith_short_16: USFS5DXLOR2BVJ3W · pith_short_8: USFS5DXL

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/USFS5DXLOR2BVJ3WLFIQWW5OMB \
  | 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: a48b2e8eeb74741aa77659510b5bae60568b7f50a2d0b6ec2751a2eae01f702b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4e10312e1103008f03f68ba5707bc4910af07b17bb9bf3c020a6fc9622b4cf9",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-12-14T22:29:40Z",
    "title_canon_sha256": "cf2aaa7d085a8164cfe12fc32f2f0a79650db801f9b2f19b6227d3abca832bea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2688",
    "kind": "arxiv",
    "version": 1
  }
}