Pith Number

pith:3PPEJXUO

pith:2026:3PPEJXUO546QHPZZCABBFARW7J

not attested not anchored not stored refs pending

Leveraging Gauge Freedom for Learning Non-Gradient Population Dynamics of Stochastic Systems

Benjamin Peherstorfer, Jules Berman, Tobias Blickhan

arxiv:2605.25107 v1 · 2026-05-24 · cs.LG · cs.AI · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3PPEJXUO546QHPZZCABBFARW7J}

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	2026-05-26T02:04:18.361723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbde44de8eef3d03bf391002128236fa5d795d5284360c733a39bb47e8e309be

Aliases

arxiv: 2605.25107 · arxiv_version: 2605.25107v1 · doi: 10.48550/arxiv.2605.25107 · pith_short_12: 3PPEJXUO546Q · pith_short_16: 3PPEJXUO546QHPZZ · pith_short_8: 3PPEJXUO

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/3PPEJXUO546QHPZZCABBFARW7J \
  | 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: dbde44de8eef3d03bf391002128236fa5d795d5284360c733a39bb47e8e309be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d113a2c5a0abfd91dff4984f5952629ae1371bf4f50e00e7384e60df3b25ec3",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-24T14:48:44Z",
    "title_canon_sha256": "301eac8c4a8c176a4466201cb23a035fb799701774bfe4b63366a76bbb60e810"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25107",
    "kind": "arxiv",
    "version": 1
  }
}