Pith Number

pith:CXXTJVYJ

pith:2018:CXXTJVYJWK2PDTXKFSRCYQ7UO5

not attested not anchored not stored refs pending

Confinement of vorticity for the 2D Euler-alpha equations

David Ambrose, Helena Nussenzveig Lopes, Milton Lopes Filho

arxiv:1802.10161 v1 · 2018-02-27 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CXXTJVYJWK2PDTXKFSRCYQ7UO5}

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	2026-05-18T00:22:17.968399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15ef34d709b2b4f1ceea2ca22c43f47777ab234ba1a0ff93eff650286bafd390

Aliases

arxiv: 1802.10161 · arxiv_version: 1802.10161v1 · doi: 10.48550/arxiv.1802.10161 · pith_short_12: CXXTJVYJWK2P · pith_short_16: CXXTJVYJWK2PDTXK · pith_short_8: CXXTJVYJ

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/CXXTJVYJWK2PDTXKFSRCYQ7UO5 \
  | 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: 15ef34d709b2b4f1ceea2ca22c43f47777ab234ba1a0ff93eff650286bafd390

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc828703fec179fdbaa420bbfd8c2f7381477a5c5dac5bbb7a13e1a5bbf6f0e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-02-27T21:03:15Z",
    "title_canon_sha256": "4851fa4e593e815622ea4eae4142a39662943c1eb31e2fdb50bfb1e10cd97e4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.10161",
    "kind": "arxiv",
    "version": 1
  }
}