Pith Number

pith:YR2NYRKX

pith:2008:YR2NYRKX3NBROB3ZO2NN3UJUQC

not attested not anchored not stored refs pending

Haar method, averaged matrix, wave cancellations, and L1 stability for hyperbolic systems

Philippe G. LeFloch

arxiv:0812.2685 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{YR2NYRKX3NBROB3ZO2NN3UJUQC}

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	2026-06-03T23:06:09.826999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c474dc4557db43170779769addd134809e94a5ddc5ba3bcc53db0ffbfff6a295

Aliases

arxiv: 0812.2685 · arxiv_version: 0812.2685v1 · doi: 10.48550/arxiv.0812.2685 · pith_short_12: YR2NYRKX3NBR · pith_short_16: YR2NYRKX3NBROB3Z · pith_short_8: YR2NYRKX

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/YR2NYRKX3NBROB3ZO2NN3UJUQC \
  | 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: c474dc4557db43170779769addd134809e94a5ddc5ba3bcc53db0ffbfff6a295

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "329f932a64e8bab191a5f84d0e11874c82a10b98106ded4e0ac68e7ccc764725",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-12-14T22:00:22Z",
    "title_canon_sha256": "daf899b90033bb5399ce4f0fb7379d4933177cb75f2e7d475d0d24826cc31acb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2685",
    "kind": "arxiv",
    "version": 1
  }
}