Pith Number

pith:HHRW43BD

pith:2025:HHRW43BD2J7PFUL4QTQCXSFDBD

not attested not anchored not stored refs pending

$L^2$-contraction and asymptotic stability of large shock for scalar viscous conservation laws

Alexis F. Vasseur, Jian Zhang, Yi Wang

arxiv:2509.02965 v1 · 2025-09-03 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HHRW43BD2J7PFUL4QTQCXSFDBD}

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	2026-07-05T12:04:00.760127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39e36e6c23d27ef2d17c84e02bc8a308cc1dd285f29d13ede40a6872fd7ba456

Aliases

arxiv: 2509.02965 · arxiv_version: 2509.02965v1 · doi: 10.48550/arxiv.2509.02965 · pith_short_12: HHRW43BD2J7P · pith_short_16: HHRW43BD2J7PFUL4 · pith_short_8: HHRW43BD

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/HHRW43BD2J7PFUL4QTQCXSFDBD \
  | 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: 39e36e6c23d27ef2d17c84e02bc8a308cc1dd285f29d13ede40a6872fd7ba456

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42fd38d82c8f2748f7bdddf47dc46e25e9fb22151929a9937f74f553491c1413",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-09-03T03:07:06Z",
    "title_canon_sha256": "8f903022f265f35c55d57d61de7d059598dc40dfcea4301f9f3eac65eee1aaa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.02965",
    "kind": "arxiv",
    "version": 1
  }
}