Pith Number

pith:OD3IHFUW

pith:2026:OD3IHFUWS2XDNEJDBQGI4VAO6A

not attested not anchored not stored refs pending

Mori-Zwanzig formalism: An existence proof for weak solutions of the orthogonal dynamics equation

Christoph Widder

arxiv:2607.25855 v1 · 2026-07-28 · math-ph · 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{OD3IHFUWS2XDNEJDBQGI4VAO6A}

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.

Cited by

1 paper in Pith

A Shared Observation Shields Collective Fluctuations while Preserving Local Independence

Receipt and verification

First computed	2026-07-29T01:26:06.858179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70f683969696ae3691230c0c8e540ef01605e31afdc3fe17651bfce78ed99ffb

Aliases

arxiv: 2607.25855 · arxiv_version: 2607.25855v1 · doi: 10.48550/arxiv.2607.25855 · pith_short_12: OD3IHFUWS2XD · pith_short_16: OD3IHFUWS2XDNEJD · pith_short_8: OD3IHFUW

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/OD3IHFUWS2XDNEJDBQGI4VAO6A \
  | 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: 70f683969696ae3691230c0c8e540ef01605e31afdc3fe17651bfce78ed99ffb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe67354c31090b41b67e26c218dd3cebf9ef33a813fdb999395fc5107d773b84",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-28T15:26:17Z",
    "title_canon_sha256": "5284db134ecf90e16731e137e78b43ae1f594b10c9061b21ba16837c300435be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25855",
    "kind": "arxiv",
    "version": 1
  }
}