Pith Number

pith:7EBE2FDD

pith:2018:7EBE2FDDWHGPMZ7OLGUGVG2NTK

not attested not anchored not stored refs pending

New variational and multisymplectic formulations of the Euler-Poincar\'e equation on the Virasoro-Bott group using the inverse map

Darryl D. Holm, Tomasz M. Tyranowski

arxiv:1801.07139 v3 · 2018-01-22 · math-ph · math.AP · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7EBE2FDDWHGPMZ7OLGUGVG2NTK}

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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	2026-05-18T00:14:06.381400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9024d1463b1ccf667ee59a86a9b4d9a98822320d402ded66ea4af8d95be9882

Aliases

arxiv: 1801.07139 · arxiv_version: 1801.07139v3 · doi: 10.48550/arxiv.1801.07139 · pith_short_12: 7EBE2FDDWHGP · pith_short_16: 7EBE2FDDWHGPMZ7O · pith_short_8: 7EBE2FDD

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/7EBE2FDDWHGPMZ7OLGUGVG2NTK \
  | 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: f9024d1463b1ccf667ee59a86a9b4d9a98822320d402ded66ea4af8d95be9882

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0692791843c01617c50a145cf6d704507d24a61a59cc804f764f65ad7bddf82d",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-01-22T15:35:32Z",
    "title_canon_sha256": "0f205bc24fcc59b742ce99ca6e9cccadedacd40d3311ca57939c5e1d042ce8b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07139",
    "kind": "arxiv",
    "version": 3
  }
}