Pith Number

pith:KFX5KMLL

pith:2016:KFX5KMLLFCAM3Q4AEJ53ELR5CR

not attested not anchored not stored refs pending

The Aubry set for a version of the Vlasov equation

Ugo Bessi

arxiv:1612.06284 v1 · 2016-12-16 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KFX5KMLLFCAM3Q4AEJ53ELR5CR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:54:42.567248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

516fd5316b2880cdc380227bb22e3d1469bc0510ae75fe2e9e38fe918481d386

Aliases

arxiv: 1612.06284 · arxiv_version: 1612.06284v1 · doi: 10.48550/arxiv.1612.06284 · pith_short_12: KFX5KMLLFCAM · pith_short_16: KFX5KMLLFCAM3Q4A · pith_short_8: KFX5KMLL

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/KFX5KMLLFCAM3Q4AEJ53ELR5CR \
  | 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: 516fd5316b2880cdc380227bb22e3d1469bc0510ae75fe2e9e38fe918481d386

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdc62a39faf96d13203fc50a8134a867b064fe48c84c2c4525d47d9520a80101",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-16T15:31:24Z",
    "title_canon_sha256": "80a9e931c2e57c77816be1ff7389011a745cde10f19ff238af343933189e7f13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06284",
    "kind": "arxiv",
    "version": 1
  }
}