Pith Number

pith:AQDZHCXJ

pith:2018:AQDZHCXJ4QFPC35IVX3U6DWOYB

not attested not anchored not stored refs pending

Long-time behaviour and phase transitions for the McKean--Vlasov equation on the torus

A. Schlichting, G. A. Pavliotis, J. A. Carrillo, R. S. Gvalani

arxiv:1806.01719 v3 · 2018-06-05 · math.AP · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AQDZHCXJ4QFPC35IVX3U6DWOYB}

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.

Cited by

1 paper in Pith

Deriving phase field crystal theory from dynamical density functional theory: consequences of the approximations

Receipt and verification

First computed	2026-07-05T01:07:35.892285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0407938ae9e40af16fa8adf74f0ecec04dd5b3d5ea78bcf00a8919b2fbd12a31

Aliases

arxiv: 1806.01719 · arxiv_version: 1806.01719v3 · doi: 10.48550/arxiv.1806.01719 · pith_short_12: AQDZHCXJ4QFP · pith_short_16: AQDZHCXJ4QFPC35I · pith_short_8: AQDZHCXJ

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/AQDZHCXJ4QFPC35IVX3U6DWOYB \
  | 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: 0407938ae9e40af16fa8adf74f0ecec04dd5b3d5ea78bcf00a8919b2fbd12a31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a025c5aa5c3e94b9bfca9eab694b4402dad867be5250998d7d3884127114963f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-05T14:33:48Z",
    "title_canon_sha256": "074347757097c85cf1728ced4eb80573d686c139ca98d559b773540712748268"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.01719",
    "kind": "arxiv",
    "version": 3
  }
}