Pith Number

pith:LU2JB6HV

pith:2025:LU2JB6HV6UYCL7WQDQGAFCZIJ2

not attested not anchored not stored refs pending

Noncommutative Regularity Structures

Ajay Chandra, Martin Hairer, Martin Peev

arxiv:2509.07948 v2 · 2025-09-09 · math.PR · math-ph · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LU2JB6HV6UYCL7WQDQGAFCZIJ2}

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	2026-07-05T12:08:09.032421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d3490f8f5f53025fed01c0c028b284e9b2c5faf1f1087875543a3dce10ccc1e

Aliases

arxiv: 2509.07948 · arxiv_version: 2509.07948v2 · doi: 10.48550/arxiv.2509.07948 · pith_short_12: LU2JB6HV6UYC · pith_short_16: LU2JB6HV6UYCL7WQ · pith_short_8: LU2JB6HV

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/LU2JB6HV6UYCL7WQDQGAFCZIJ2 \
  | 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: 5d3490f8f5f53025fed01c0c028b284e9b2c5faf1f1087875543a3dce10ccc1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ed836497a914dec0d1492d84c2ed55c644f1e322f19469f5810f8ddb0293356",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-09-09T17:38:24Z",
    "title_canon_sha256": "7f1ef7e0354dcccdec25e8c43462d271e55ec245312c305242897c6b117a0693"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.07948",
    "kind": "arxiv",
    "version": 2
  }
}