Pith Number

pith:I7T3M3WN

pith:2008:I7T3M3WNIDL5HMBQGJ4MQJEAEJ

not attested not anchored not stored refs pending

A symmetrization of the relativistic Euler equations in several spatial variables

Philippe G. LeFloch, Seiji Ukai

arxiv:0812.4001 v1 · 2008-12-20 · math.AP · cs.NA · gr-qc · 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{I7T3M3WNIDL5HMBQGJ4MQJEAEJ}

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	2026-06-03T23:06:10.018063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47e7b66ecd40d7d3b0303278c8248022796de5af15673cc9eb81d84db7be6012

Aliases

arxiv: 0812.4001 · arxiv_version: 0812.4001v1 · doi: 10.48550/arxiv.0812.4001 · pith_short_12: I7T3M3WNIDL5 · pith_short_16: I7T3M3WNIDL5HMBQ · pith_short_8: I7T3M3WN

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/I7T3M3WNIDL5HMBQGJ4MQJEAEJ \
  | 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: 47e7b66ecd40d7d3b0303278c8248022796de5af15673cc9eb81d84db7be6012

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19d665d545c3bdc8be1bcac1c4dc807d43637af0b4d7ac36dff5bf6e3cb54fc7",
    "cross_cats_sorted": [
      "cs.NA",
      "gr-qc",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-12-20T21:16:28Z",
    "title_canon_sha256": "e4433a024108e16f27f2951bcdafa96b68dd87be7d8250255ed0b275e831c066"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.4001",
    "kind": "arxiv",
    "version": 1
  }
}