Pith Number

pith:GHLLGJ33

pith:2010:GHLLGJ33FENJUFQDBSPT5HYH77

not attested not anchored not stored refs pending

The Mixing efficiency of open flows

Charles R. Doering, Jean-Luc Thiffeault

arxiv:1002.2997 v1 · 2010-02-16 · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHLLGJ33FENJUFQDBSPT5HYH77}

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	2026-05-18T02:09:07.954048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31d6b3277b291a9a16030c9f3e9f07ffd9a14cd99bb820b9e3b923a7390e57af

Aliases

arxiv: 1002.2997 · arxiv_version: 1002.2997v1 · doi: 10.48550/arxiv.1002.2997 · pith_short_12: GHLLGJ33FENJ · pith_short_16: GHLLGJ33FENJUFQD · pith_short_8: GHLLGJ33

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/GHLLGJ33FENJUFQDBSPT5HYH77 \
  | 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: 31d6b3277b291a9a16030c9f3e9f07ffd9a14cd99bb820b9e3b923a7390e57af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19cbebcbd551254052afa21040094bbe2fdbd3ccf49a96339a26a03523d98a2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2010-02-16T03:54:17Z",
    "title_canon_sha256": "f960bf617f7225dd92a9a7901aa1cfb0d3216bb885c206b14fca554c12eca4e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2997",
    "kind": "arxiv",
    "version": 1
  }
}