Pith Number

pith:PL7KT3KA

pith:2011:PL7KT3KA6PBRPJKLIVV5GSJ4ZC

not attested not anchored not stored refs pending

Mean-field calculation of critical parameters and log-periodic characterization of an aperiodic-modulated model

N. S. Branco, T. P. Oliveira

arxiv:1112.4728 v1 · 2011-12-20 · 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{PL7KT3KA6PBRPJKLIVV5GSJ4ZC}

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	2026-05-18T01:59:04.638213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7afea9ed40f3c317a54b456bd3493cc89d0b35c149e4c72f047bb64f59852e26

Aliases

arxiv: 1112.4728 · arxiv_version: 1112.4728v1 · doi: 10.48550/arxiv.1112.4728 · pith_short_12: PL7KT3KA6PBR · pith_short_16: PL7KT3KA6PBRPJKL · pith_short_8: PL7KT3KA

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/PL7KT3KA6PBRPJKLIVV5GSJ4ZC \
  | 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: 7afea9ed40f3c317a54b456bd3493cc89d0b35c149e4c72f047bb64f59852e26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5df9013cdb36c98ae9643c461970f03a1c13c538b29f624b05056e5c6b49f9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-12-20T15:30:57Z",
    "title_canon_sha256": "753d1eb3b1d7a8443db1f3b63de8d60f1067e15da9f71de8b375ad0909332961"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4728",
    "kind": "arxiv",
    "version": 1
  }
}