Pith Number

pith:AJZLHBXX

pith:2011:AJZLHBXXUWIBVDPOL3V7DOXBR2

not attested not anchored not stored refs pending

Optimal Regularizing Effect for Scalar Conservation Laws

Beno\^it Perthame, Fran\c{c}ois Golse

arxiv:1112.2309 v2 · 2011-12-10 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AJZLHBXXUWIBVDPOL3V7DOXBR2}

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	2026-05-18T02:39:24.386590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0272b386f7a5901a8dee5eebf1bae18e973bea99feb5341d954b4645f4ef5f36

Aliases

arxiv: 1112.2309 · arxiv_version: 1112.2309v2 · doi: 10.48550/arxiv.1112.2309 · pith_short_12: AJZLHBXXUWIB · pith_short_16: AJZLHBXXUWIBVDPO · pith_short_8: AJZLHBXX

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/AJZLHBXXUWIBVDPOL3V7DOXBR2 \
  | 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: 0272b386f7a5901a8dee5eebf1bae18e973bea99feb5341d954b4645f4ef5f36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd9a1945cd44c99e902ec917ada3fd385b8da950f08d4160fad09e048af49cdb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-10T23:22:38Z",
    "title_canon_sha256": "62ca183723e38bd631a6d966f0e67c72c84145eed4e028e8451efd4aff180cad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2309",
    "kind": "arxiv",
    "version": 2
  }
}