Pith Number

pith:OYSIM3KE

pith:2026:OYSIM3KEYSSJSZYRE4RA46JWX3

not attested not anchored not stored refs pending

A note on application of mean-field limit to non-exchangeable non-conservative systems

Katarzyna Ryszewska, Piotr Gwiazda

arxiv:2607.20014 v1 · 2026-07-22 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OYSIM3KEYSSJSZYRE4RA46JWX3}

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	2026-07-23T01:24:55.637101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7624866d44c4a499671127220e7936bef47c3f54cf08b8bcfcb62519cb07c4e5

Aliases

arxiv: 2607.20014 · arxiv_version: 2607.20014v1 · doi: 10.48550/arxiv.2607.20014 · pith_short_12: OYSIM3KEYSSJ · pith_short_16: OYSIM3KEYSSJSZYR · pith_short_8: OYSIM3KE

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/OYSIM3KEYSSJSZYRE4RA46JWX3 \
  | 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: 7624866d44c4a499671127220e7936bef47c3f54cf08b8bcfcb62519cb07c4e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9ea78fa30180db904d8136dfa10b1b36bea072dc14cc945254646f3f1c70d57",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-22T10:57:58Z",
    "title_canon_sha256": "3a3a27b00e262d909ca1893edaabf417ef7a3fe1dc6e6e2a5877a622635bc2b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20014",
    "kind": "arxiv",
    "version": 1
  }
}