Pith Number

pith:4SLMFZV4

pith:2025:4SLMFZV4X7ZA7LPNMLHR2EC4VH

not attested not anchored not stored refs pending

Macroscopic fluctuation theory from a Lagrangian viewpoint and the Schr\"odinger problem

D. Gabrielli, G. Jona-Lasinio, L. Bertini

arxiv:2506.22085 v1 · 2025-06-27 · math.PR · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4SLMFZV4X7ZA7LPNMLHR2EC4VH}

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	2026-07-05T11:28:21.795654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e496c2e6bcbff20faded62cf1d105ca9f0910c068281c6c03caefa1ef75a7765

Aliases

arxiv: 2506.22085 · arxiv_version: 2506.22085v1 · doi: 10.48550/arxiv.2506.22085 · pith_short_12: 4SLMFZV4X7ZA · pith_short_16: 4SLMFZV4X7ZA7LPN · pith_short_8: 4SLMFZV4

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/4SLMFZV4X7ZA7LPNMLHR2EC4VH \
  | 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: e496c2e6bcbff20faded62cf1d105ca9f0910c068281c6c03caefa1ef75a7765

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7101af74cf417ed7500727cc930e3e8accf9c6f9d8e11ee57a4399b043357dca",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-06-27T10:16:41Z",
    "title_canon_sha256": "ab78135e5515bb307dbe966df2b0ec2bbd2a444c6fcce975ab4cfddb5492bc9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.22085",
    "kind": "arxiv",
    "version": 1
  }
}