Pith Number

pith:GDRECL73

pith:2018:GDRECL73TEH4HOL5APDOVWUUWB

not attested not anchored not stored refs pending

Koopman mode expansions between simple invariant solutions

Jacob Page, Rich R. Kerswell

arxiv:1811.05907 v1 · 2018-11-14 · 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{GDRECL73TEH4HOL5APDOVWUUWB}

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	2026-07-05T00:06:31.817813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30e2412ffb990fc3b97d03c6eada94b0689927045f67c286faa885ec0a747707

Aliases

arxiv: 1811.05907 · arxiv_version: 1811.05907v1 · doi: 10.48550/arxiv.1811.05907 · pith_short_12: GDRECL73TEH4 · pith_short_16: GDRECL73TEH4HOL5 · pith_short_8: GDRECL73

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/GDRECL73TEH4HOL5APDOVWUUWB \
  | 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: 30e2412ffb990fc3b97d03c6eada94b0689927045f67c286faa885ec0a747707

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c12d659d98621f6e1aa0a373cfe60c000a9585e9b549c49edfbf6d156fce739",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2018-11-14T16:59:21Z",
    "title_canon_sha256": "654b7a19ced103dc54bffb2d1a644b5b6209f1741cae1fc58ea6a672bdd1a446"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.05907",
    "kind": "arxiv",
    "version": 1
  }
}