Pith Number

pith:FOQUYDYH

pith:2018:FOQUYDYHMEXWZJH7QSQ7XRKVPO

not attested not anchored not stored refs pending

New estimates on the regularity of the pressure in density-constrained Mean Field Games

Filippo Santambrogio (MMCS, Hugo Lavenant (LM-Orsay), UCBL)

arxiv:1811.09147 v2 · 2018-11-22 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FOQUYDYHMEXWZJH7QSQ7XRKVPO}

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	2026-05-17T23:43:04.257241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ba14c0f07612f6ca4ff84a1fbc5557bb033ed1cb94c245f7d6559d46a659916

Aliases

arxiv: 1811.09147 · arxiv_version: 1811.09147v2 · doi: 10.48550/arxiv.1811.09147 · pith_short_12: FOQUYDYHMEXW · pith_short_16: FOQUYDYHMEXWZJH7 · pith_short_8: FOQUYDYH

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/FOQUYDYHMEXWZJH7QSQ7XRKVPO \
  | 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: 2ba14c0f07612f6ca4ff84a1fbc5557bb033ed1cb94c245f7d6559d46a659916

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63a9af1c064114e94b95ba51e3d161726c39ce054a8814a6616df38806b0ad41",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-11-22T12:56:44Z",
    "title_canon_sha256": "3c1703455d5edf46fd2ad0c62826f20b9ba1ee22b9757bccceef5dcf4e9b6fa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09147",
    "kind": "arxiv",
    "version": 2
  }
}