Pith Number

pith:XLUBCYY2

pith:2008:XLUBCYY2TQUP3SCV6JPFAFFB2B

not attested not anchored not stored refs pending

Diminishing functionals for nonclassical entropy solutions selected by kinetic relations

Marc Laforest, Philippe G. LeFloch

arxiv:0812.4021 v1 · 2008-12-21 · 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{XLUBCYY2TQUP3SCV6JPFAFFB2B}

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	2026-06-03T23:06:10.035005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bae811631a9c28fdc855f25e5014a1d066b7ad6b0fbf3cc1f227bd6e3cae4180

Aliases

arxiv: 0812.4021 · arxiv_version: 0812.4021v1 · doi: 10.48550/arxiv.0812.4021 · pith_short_12: XLUBCYY2TQUP · pith_short_16: XLUBCYY2TQUP3SCV · pith_short_8: XLUBCYY2

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/XLUBCYY2TQUP3SCV6JPFAFFB2B \
  | 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: bae811631a9c28fdc855f25e5014a1d066b7ad6b0fbf3cc1f227bd6e3cae4180

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57c3c93107901f0b3db371ec07325f28352cd780dfe3f46e800580d8a7604f0a",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-12-21T11:25:01Z",
    "title_canon_sha256": "33047a04090476fdb6be3512d41d1925af6d4b63b18ee13905d5216d5f8aa463"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.4021",
    "kind": "arxiv",
    "version": 1
  }
}