Pith Number

pith:PHUW4IEH

pith:2018:PHUW4IEHI6PA5JFTKPSRKJVIHH

not attested not anchored not stored refs pending

Weakly mixing smooth planar vector field without asymptotic directions

Liying Li, Yuri Bakhtin

arxiv:1808.05544 v1 · 2018-08-16 · math.DS · 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{PHUW4IEHI6PA5JFTKPSRKJVIHH}

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	2026-05-18T00:07:56.712643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79e96e2087479e0ea4b353e51526a839ed558b6c45625e61ce9c6ad029dbd655

Aliases

arxiv: 1808.05544 · arxiv_version: 1808.05544v1 · doi: 10.48550/arxiv.1808.05544 · pith_short_12: PHUW4IEHI6PA · pith_short_16: PHUW4IEHI6PA5JFT · pith_short_8: PHUW4IEH

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/PHUW4IEHI6PA5JFTKPSRKJVIHH \
  | 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: 79e96e2087479e0ea4b353e51526a839ed558b6c45625e61ce9c6ad029dbd655

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2df37b74ec20b87dc525852a599e662dd686ff4de990457ef1c8ad980df09e1",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-08-16T15:43:22Z",
    "title_canon_sha256": "f2881a78ed6fd0c70582b4f9f90cc270387a6bb8abdfcea939dd08043c75507b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05544",
    "kind": "arxiv",
    "version": 1
  }
}