Pith Number

pith:A4CQXSGS

pith:2011:A4CQXSGSDSBRSWOIBKXESWQGVP

not attested not anchored not stored refs pending

Some remarks on singular solutions of nonlinear elliptic equations. III: viscosity solutions, including parabolic operators

Louis Nirenberg, Luis Caffarelli, Yanyan Li

arxiv:1101.2833 v1 · 2011-01-14 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A4CQXSGSDSBRSWOIBKXESWQGVP}

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	2026-05-18T04:31:31.694404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07050bc8d21c831959c80aae495a06abd3696b4bd6136913b290a369b0f9a182

Aliases

arxiv: 1101.2833 · arxiv_version: 1101.2833v1 · doi: 10.48550/arxiv.1101.2833 · pith_short_12: A4CQXSGSDSBR · pith_short_16: A4CQXSGSDSBRSWOI · pith_short_8: A4CQXSGS

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/A4CQXSGSDSBRSWOIBKXESWQGVP \
  | 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: 07050bc8d21c831959c80aae495a06abd3696b4bd6136913b290a369b0f9a182

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0ed93a44330eaf98c4f16478fc5cf302b601420df97978fd540264000dfb3bb",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-14T15:15:45Z",
    "title_canon_sha256": "4d8c76eb3a5484dcf63821594652b8af1b769995e24bd8ea362d7cddef0a74bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2833",
    "kind": "arxiv",
    "version": 1
  }
}