Pith Number

pith:6VJ3V4PN

pith:2026:6VJ3V4PN2UUZPDXINCX4BLCFWN

not attested not anchored not stored refs pending

Solving Functional Renormalization Group Equations with Neural Networks

Lianyi He, Lingxiao Wang, Wei-jie Fu, Yang-yang Tan

arxiv:2603.21151 v2 · 2026-03-22 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6VJ3V4PN2UUZPDXINCX4BLCFWN}

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.

Cited by

1 paper in Pith

Diffusion Models for Sampling Near Criticality in Lattice Field Theories

Receipt and verification

First computed	2026-07-28T02:23:28.577059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f553baf1edd529978ee868afc0ac45b37637e2a3716d1ccc2c81bc97f9224c0e

Aliases

arxiv: 2603.21151 · arxiv_version: 2603.21151v2 · doi: 10.48550/arxiv.2603.21151 · pith_short_12: 6VJ3V4PN2UUZ · pith_short_16: 6VJ3V4PN2UUZPDXI · pith_short_8: 6VJ3V4PN

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/6VJ3V4PN2UUZPDXINCX4BLCFWN \
  | 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: f553baf1edd529978ee868afc0ac45b37637e2a3716d1ccc2c81bc97f9224c0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee882e6409e4d662cacaf1043bbf47eb10584dc6bf1c97d808d1a34e940722be",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-03-22T10:03:22Z",
    "title_canon_sha256": "9780f2d8061992505b7cef783dd30438bed7901741b79b94795d26954c229d32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.21151",
    "kind": "arxiv",
    "version": 2
  }
}