Pith Number

pith:4UYR7FXP

pith:2013:4UYR7FXP3UY2SA4DHVTL7SEXRA

not attested not anchored not stored refs pending

Critical Exponents of the Random Field Hierarchical Model

Giorgio Parisi, Jacopo Rocchi

arxiv:1309.7470 v1 · 2013-09-28 · cond-mat.dis-nn · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4UYR7FXP3UY2SA4DHVTL7SEXRA}

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	2026-05-18T02:47:07.744987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5311f96efdd31a903833d66bfc8978811e4590e5897fe1f4947fca402bb6b73

Aliases

arxiv: 1309.7470 · arxiv_version: 1309.7470v1 · doi: 10.48550/arxiv.1309.7470 · pith_short_12: 4UYR7FXP3UY2 · pith_short_16: 4UYR7FXP3UY2SA4D · pith_short_8: 4UYR7FXP

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/4UYR7FXP3UY2SA4DHVTL7SEXRA \
  | 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: e5311f96efdd31a903833d66bfc8978811e4590e5897fe1f4947fca402bb6b73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f7e2b1d404e04cd252daca2fed788c32f17544327715a84a974f23fa13ff1d9",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2013-09-28T16:04:23Z",
    "title_canon_sha256": "ccdedcd4199c8beca78d7d42b2aabb4896898a878f86f4831b54376e95d5cdf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7470",
    "kind": "arxiv",
    "version": 1
  }
}