Pith Number

pith:QZ4EB7S2

pith:2011:QZ4EB7S2SVND5XQQBHWOR3QHEF

not attested not anchored not stored refs pending

On a price formation free boundary model by Lasry & Lions

Jan-Frederik Pietschmann, Luis A. Caffarelli, Peter A. Markowich

arxiv:1105.1121 v1 · 2011-05-05 · 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{QZ4EB7S2SVND5XQQBHWOR3QHEF}

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	2026-05-18T04:22:49.194600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

867840fe5a955a3ede1009ece8ee07214a19be740a72d90590c51f0cf3ac0e1b

Aliases

arxiv: 1105.1121 · arxiv_version: 1105.1121v1 · doi: 10.48550/arxiv.1105.1121 · pith_short_12: QZ4EB7S2SVND · pith_short_16: QZ4EB7S2SVND5XQQ · pith_short_8: QZ4EB7S2

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/QZ4EB7S2SVND5XQQBHWOR3QHEF \
  | 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: 867840fe5a955a3ede1009ece8ee07214a19be740a72d90590c51f0cf3ac0e1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afd1c0cdc126107df13910171906f03edbf05ce1950f917fa7109ab6e65cdc88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-05T16:48:11Z",
    "title_canon_sha256": "6dfa0f910ba7e2af517f5bac6ca9ae6c7c3418e63aac73730359ea4c889543bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1121",
    "kind": "arxiv",
    "version": 1
  }
}