Pith Number

pith:H6VLOR6W

pith:2012:H6VLOR6WQZ76T42ZOFA6MSLAME

not attested not anchored not stored refs pending

Global $W^{2,p}$ estimates for solutions to the linearized Monge--Amp\`ere equations

Nam Q. Le, Truyen Nguyen

arxiv:1209.1998 v2 · 2012-09-10 · 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{H6VLOR6WQZ76T42ZOFA6MSLAME}

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	2026-05-18T01:54:37.681513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3faab747d6867fe9f3597141e649606124794c22c45bc6be590e09dcb24152cc

Aliases

arxiv: 1209.1998 · arxiv_version: 1209.1998v2 · doi: 10.48550/arxiv.1209.1998 · pith_short_12: H6VLOR6WQZ76 · pith_short_16: H6VLOR6WQZ76T42Z · pith_short_8: H6VLOR6W

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/H6VLOR6WQZ76T42ZOFA6MSLAME \
  | 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: 3faab747d6867fe9f3597141e649606124794c22c45bc6be590e09dcb24152cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "582b1101979cf572f5a2addead3e661f42e2f83308b9de7fff211e20d0634b8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-10T14:02:02Z",
    "title_canon_sha256": "b85a044bc64b2c27a83c446bfbd6a762a7e97b7d6f658709b53355db4c336a5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1998",
    "kind": "arxiv",
    "version": 2
  }
}