Pith Number

pith:H3J5OWRR

pith:2010:H3J5OWRRQCKUOD22YOJL7RTOXV

not attested not anchored not stored refs pending

Critical phenomena in the Dyson hierarchical model and renormalization group

Pavel Bleher

arxiv:1010.5855 v1 · 2010-10-28 · 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{H3J5OWRRQCKUOD22YOJL7RTOXV}

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

Critical long-range percolation II: Low effective dimension

Receipt and verification

First computed	2026-05-18T04:38:15.048131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ed3d75a318095470f5ac392bfc66ebd792e04374d7dfe56495c6f61eff75efa

Aliases

arxiv: 1010.5855 · arxiv_version: 1010.5855v1 · doi: 10.48550/arxiv.1010.5855 · pith_short_12: H3J5OWRRQCKU · pith_short_16: H3J5OWRRQCKUOD22 · pith_short_8: H3J5OWRR

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/H3J5OWRRQCKUOD22YOJL7RTOXV \
  | 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: 3ed3d75a318095470f5ac392bfc66ebd792e04374d7dfe56495c6f61eff75efa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c776e3138f70dd5cefd9167d89d9b06ec5ac970193d352b65ca985968e0d026f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-10-28T04:22:42Z",
    "title_canon_sha256": "8f0d7bd7dd9731cab170369818bc0789d86dc68337f8126e8b0e4768fadb46eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5855",
    "kind": "arxiv",
    "version": 1
  }
}