Pith Number

pith:3IRDWYWY

pith:2011:3IRDWYWYB4O4BCQ7CSHQ66UVZ3

not attested not anchored not stored refs pending

On a price formation free boundary model by Lasry & Lions: The Neumann problem

Luis A. Caffarelli, Marie-Therese Wolfram, Peter A. Markowich

arxiv:1106.3851 v2 · 2011-06-20 · 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{3IRDWYWYB4O4BCQ7CSHQ66UVZ3}

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	2026-05-18T04:19:03.118234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da223b62d80f1dc08a1f148f0f7a95cef4b0f9a74a91d26a4c8d1a8a3150b2cb

Aliases

arxiv: 1106.3851 · arxiv_version: 1106.3851v2 · doi: 10.48550/arxiv.1106.3851 · pith_short_12: 3IRDWYWYB4O4 · pith_short_16: 3IRDWYWYB4O4BCQ7 · pith_short_8: 3IRDWYWY

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/3IRDWYWYB4O4BCQ7CSHQ66UVZ3 \
  | 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: da223b62d80f1dc08a1f148f0f7a95cef4b0f9a74a91d26a4c8d1a8a3150b2cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "009145678cfb34961d609dcf4a1345329ab278fa5f241cffe2085dd4998f4dae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-06-20T09:55:37Z",
    "title_canon_sha256": "a29b7aff202da58a8609b5cec5451f4adbe8bbe0ba69721f8de84cf9c18fd1c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3851",
    "kind": "arxiv",
    "version": 2
  }
}