Pith Number

pith:2J2R56Y7

pith:2013:2J2R56Y7ZJGWJ7HIQBHZS7Y4OK

not attested not anchored not stored refs pending

Log-periodic critical amplitudes: a perturbative approach

Bernard Derrida, Giambattista Giacomin

arxiv:1303.5971 v1 · 2013-03-24 · 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{2J2R56Y7ZJGWJ7HIQBHZS7Y4OK}

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	2026-05-18T01:50:59.223824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2751efb1fca4d64fce8804f997f1c72a4a2f3623eb530a93e4aa112d65b8e3a

Aliases

arxiv: 1303.5971 · arxiv_version: 1303.5971v1 · doi: 10.48550/arxiv.1303.5971 · pith_short_12: 2J2R56Y7ZJGW · pith_short_16: 2J2R56Y7ZJGWJ7HI · pith_short_8: 2J2R56Y7

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/2J2R56Y7ZJGWJ7HIQBHZS7Y4OK \
  | 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: d2751efb1fca4d64fce8804f997f1c72a4a2f3623eb530a93e4aa112d65b8e3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a0fac2f4ca93255aa75206bbcb2a028ef25f4de35e1d6961227dfbeed00f6f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-03-24T17:48:32Z",
    "title_canon_sha256": "c838841b6d18fb92c25b98a6422822fc1bc8cd4473b24d2af391023e16b87cab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5971",
    "kind": "arxiv",
    "version": 1
  }
}