Pith Number

pith:5CGC4BSZ

pith:2001:5CGC4BSZB5VCHDO4O7YGTG5YJD

not attested not anchored not stored refs pending

Averaged Lagrangians and the mean dynamical effects of fluctuations in continuum mechanics

Darryl D. Holm

arxiv:nlin/0103035 v1 · 2001-03-22 · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5CGC4BSZB5VCHDO4O7YGTG5YJD}

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	2026-05-18T01:38:21.908437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e88c2e06590f6a238ddc77f0699bb848c2ef3e4948be02ecacbf815fb6715597

Aliases

arxiv: nlin/0103035 · arxiv_version: nlin/0103035v1 · doi: 10.48550/arxiv.nlin/0103035 · pith_short_12: 5CGC4BSZB5VC · pith_short_16: 5CGC4BSZB5VCHDO4 · pith_short_8: 5CGC4BSZ

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/5CGC4BSZB5VCHDO4O7YGTG5YJD \
  | 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: e88c2e06590f6a238ddc77f0699bb848c2ef3e4948be02ecacbf815fb6715597

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52238142e191c708d3abb0ecdc92501b87c81352bfb53f6831bb8ce2a0d33892",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "nlin.CD",
    "submitted_at": "2001-03-22T23:27:50Z",
    "title_canon_sha256": "8d134807045f88b57f23645fdb933c2ff8f5b455ea65a3f8893cf6c9c40f8112"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0103035",
    "kind": "arxiv",
    "version": 1
  }
}