Pith Number

pith:AIYFVCBQ

pith:2026:AIYFVCBQ4PRUCL6SQNDAPZUC4D

not attested not anchored not stored refs pending

Singular mean-field limits via a multiscale mollification metric

Quoc Hung Nguyen, Sylvia Serfaty

arxiv:2607.10686 v1 · 2026-07-12 · math.AP · 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{AIYFVCBQ4PRUCL6SQNDAPZUC4D}

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	2026-07-14T01:21:34.757173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02305a8830e3e3412fd2834607e682e0f45fe852f9d7608c1f8c1fc48eacac03

Aliases

arxiv: 2607.10686 · arxiv_version: 2607.10686v1 · doi: 10.48550/arxiv.2607.10686 · pith_short_12: AIYFVCBQ4PRU · pith_short_16: AIYFVCBQ4PRUCL6S · pith_short_8: AIYFVCBQ

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/AIYFVCBQ4PRUCL6SQNDAPZUC4D \
  | 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: 02305a8830e3e3412fd2834607e682e0f45fe852f9d7608c1f8c1fc48eacac03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17b8b2d4ae4315ab57ed83b7544d133f2626b4192c5864f67ce30d246bbf9731",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-12T10:15:57Z",
    "title_canon_sha256": "b17393a9c207bae27b06bcc3ce0400bbf01d099e2c0c203b698d71407f99e701"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10686",
    "kind": "arxiv",
    "version": 1
  }
}