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Pith Number

pith:HWOY6XYW

pith:2007:HWOY6XYW5XD7QIVIIYKJI4RAKU
not attested not anchored not stored refs pending

Boundary layers in weak solutions to hyperbolic conservation laws

K.T. Joseph, Philippe G. LeFloch

arxiv:math/0702024 v1 · 2007-02-01 · math.AP · cs.NA · math.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HWOY6XYW5XD7QIVIIYKJI4RAKU}

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 2026-06-03T22:06:21.960830Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3d9d8f5f16edc7f822a846149472205514b70ada4710fccb245645e07482229a

Aliases

arxiv: math/0702024 · arxiv_version: math/0702024v1 · doi: 10.48550/arxiv.math/0702024 · pith_short_12: HWOY6XYW5XD7 · pith_short_16: HWOY6XYW5XD7QIVI · pith_short_8: HWOY6XYW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HWOY6XYW5XD7QIVIIYKJI4RAKU \
  | 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: 3d9d8f5f16edc7f822a846149472205514b70ada4710fccb245645e07482229a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a58ab12a388f0f7a08026ffe19d273f8cc65bc4c978e71b30d8591ad3c5c1c56",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-02-01T17:22:25Z",
    "title_canon_sha256": "8468c665836011d8c34f0078b70aa38129d0b600af0a91db218dd21dda9fcaf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702024",
    "kind": "arxiv",
    "version": 1
  }
}