Pith Number

pith:F6RH5LDR

pith:2025:F6RH5LDRYHA6HDNNF7BXD7GFPF

not attested not anchored not stored refs pending

VRJP recurrence and fractional-moment decay for the \(H^{2|2}\) model's effective field on the hierarchical lattice

Jinglin Wang, Xiaolin Zeng

arxiv:2505.01337 v3 · 2025-05-02 · math.PR · 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{F6RH5LDRYHA6HDNNF7BXD7GFPF}

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	2026-06-08T01:05:00.714461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fa27eac71c1c1e38dad2fc371fcc5795fbb6592bbdc0b4876f51e8520f04810

Aliases

arxiv: 2505.01337 · arxiv_version: 2505.01337v3 · doi: 10.48550/arxiv.2505.01337 · pith_short_12: F6RH5LDRYHA6 · pith_short_16: F6RH5LDRYHA6HDNN · pith_short_8: F6RH5LDR

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/F6RH5LDRYHA6HDNNF7BXD7GFPF \
  | 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: 2fa27eac71c1c1e38dad2fc371fcc5795fbb6592bbdc0b4876f51e8520f04810

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0af19bc0a97ba81be8b7bd0aa86bdc2b3cb550edd1656bc8053339ede96d0caf",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-05-02T15:09:05Z",
    "title_canon_sha256": "081d682d67af46a898ff8c4507b04f8b09bf1c4329764c6894a0586a03ac04c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.01337",
    "kind": "arxiv",
    "version": 3
  }
}