Pith Number

pith:PXEWAQZU

pith:2017:PXEWAQZUOAMQ5LLI5336ECYYPS

not attested not anchored not stored refs pending

Sobolev regularity for first order Mean Field Games

Alp\'ar R. M\'esz\'aros, P. Jameson Graber

arxiv:1708.06190 v2 · 2017-08-21 · 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{PXEWAQZUOAMQ5LLI5336ECYYPS}

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	2026-05-18T00:25:11.519856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dc960433470190ead68eef7e20b187ca89542634f508e15c87304ab0b00dff3

Aliases

arxiv: 1708.06190 · arxiv_version: 1708.06190v2 · doi: 10.48550/arxiv.1708.06190 · pith_short_12: PXEWAQZUOAMQ · pith_short_16: PXEWAQZUOAMQ5LLI · pith_short_8: PXEWAQZU

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/PXEWAQZUOAMQ5LLI5336ECYYPS \
  | 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: 7dc960433470190ead68eef7e20b187ca89542634f508e15c87304ab0b00dff3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ca569ed98bb9397ef24326fa8b45db37d6e6a332aa94221c2ea488d289a20ca",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-21T12:41:15Z",
    "title_canon_sha256": "41bcdf166fdc9fde3f29daeba5f91c0172a71c25518c06fe5b4faf92896fc203"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06190",
    "kind": "arxiv",
    "version": 2
  }
}