Pith Number

pith:DLUGLEXL

pith:2008:DLUGLEXLFFV4FTJD3R2GXPJ4IY

not attested not anchored not stored refs pending

Singular limits for the Riemann problem. General diffusion, relaxation, and boundary conditions

K.T. Joseph, Philippe G. LeFloch

arxiv:0812.2680 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{DLUGLEXLFFV4FTJD3R2GXPJ4IY}

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	2026-06-03T23:06:09.814166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ae86592eb296bc2cd23dc746bbd3c460269743aa3e09a08ccf8070a8edddfa9

Aliases

arxiv: 0812.2680 · arxiv_version: 0812.2680v1 · doi: 10.48550/arxiv.0812.2680 · pith_short_12: DLUGLEXLFFV4 · pith_short_16: DLUGLEXLFFV4FTJD · pith_short_8: DLUGLEXL

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/DLUGLEXLFFV4FTJD3R2GXPJ4IY \
  | 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: 1ae86592eb296bc2cd23dc746bbd3c460269743aa3e09a08ccf8070a8edddfa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43c105ba927b3885bd5afef98e4b541cc364da3ef157758d46950a9c8679f0d5",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-12-14T21:21:00Z",
    "title_canon_sha256": "1ed36bec36239313c1264d4474e8aa542ceb00e74525baa7937d8872c99ff58e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2680",
    "kind": "arxiv",
    "version": 1
  }
}