Pith Number

pith:4ZMXSTCD

pith:2015:4ZMXSTCDHOM3UVVVGRWJ2O5MU3

not attested not anchored not stored refs pending

Eroding dipoles and vorticity growth for Euler flows in $ \scriptstyle{\mathbb{R}}^3$ I. Axisymmetric flow without swirl

Andrew D. Gilbert, Paul Valiant, Stephen Childress

arxiv:1512.07898 v1 · 2015-12-24 · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ZMXSTCDHOM3UVVVGRWJ2O5MU3}

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	2026-05-18T01:00:25.778801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e659794c433b99ba56b5346c9d3baca6e37f51d2449aaf9ad7d965e3508a1aaf

Aliases

arxiv: 1512.07898 · arxiv_version: 1512.07898v1 · doi: 10.48550/arxiv.1512.07898 · pith_short_12: 4ZMXSTCDHOM3 · pith_short_16: 4ZMXSTCDHOM3UVVV · pith_short_8: 4ZMXSTCD

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/4ZMXSTCDHOM3UVVVGRWJ2O5MU3 \
  | 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: e659794c433b99ba56b5346c9d3baca6e37f51d2449aaf9ad7d965e3508a1aaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ad44f1bb332ad226a5828b634ba34542ed9c0e0cf95a2a0cebae11b19da39f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2015-12-24T20:31:45Z",
    "title_canon_sha256": "1a73bcc8cc0d384110fe61b48ddb231f2b740b362256f7c4eb0c352c7f14d466"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07898",
    "kind": "arxiv",
    "version": 1
  }
}