Pith Number

pith:7FWIMWV3

pith:2026:7FWIMWV3Q5SVGB2Z5UJYTWY5RD

not attested not anchored not stored refs pending

Madelung hydrodynamics and Poisson geometry of wave functions

Boris Khesin, Klas Modin

arxiv:2607.01024 v1 · 2026-07-01 · math.DG · math-ph · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7FWIMWV3Q5SVGB2Z5UJYTWY5RD}

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	2026-07-02T01:18:26.288890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f96c865abb8765530759ed1389db1d88c8297754a408556d8998a2afaceee28f

Aliases

arxiv: 2607.01024 · arxiv_version: 2607.01024v1 · doi: 10.48550/arxiv.2607.01024 · pith_short_12: 7FWIMWV3Q5SV · pith_short_16: 7FWIMWV3Q5SVGB2Z · pith_short_8: 7FWIMWV3

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/7FWIMWV3Q5SVGB2Z5UJYTWY5RD \
  | 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: f96c865abb8765530759ed1389db1d88c8297754a408556d8998a2afaceee28f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbf5a768bf3b263bb6c6f7dfcfe1b2dad22e91e7ae7fa77c1befffe86b846033",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-01T14:57:09Z",
    "title_canon_sha256": "de607fae1c0dbb9636c7e9be2fc6eff970e50eae9841b89b4dfec63ee0298b97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01024",
    "kind": "arxiv",
    "version": 1
  }
}