Pith Number

pith:XKX4MXQP

pith:2012:XKX4MXQPID6VIV2L6BMBWRV4BU

not attested not anchored not stored refs pending

Oscillatory critical amplitudes in hierarchical models and the tail of the Harris random variable

Giambattista Giacomin, Ovidiu Costin

arxiv:1206.1468 v1 · 2012-06-07 · 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{XKX4MXQPID6VIV2L6BMBWRV4BU}

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	2026-05-18T01:57:01.095436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baafc65e0f40fd54574bf0581b46bc0d3c9c36021bffb19c0944613d12f36241

Aliases

arxiv: 1206.1468 · arxiv_version: 1206.1468v1 · doi: 10.48550/arxiv.1206.1468 · pith_short_12: XKX4MXQPID6V · pith_short_16: XKX4MXQPID6VIV2L · pith_short_8: XKX4MXQP

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/XKX4MXQPID6VIV2L6BMBWRV4BU \
  | 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: baafc65e0f40fd54574bf0581b46bc0d3c9c36021bffb19c0944613d12f36241

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1208aab3a1e1b367fcf5d18261bd215938c61c0b4d451e4276a78c66721c8391",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-06-07T12:21:11Z",
    "title_canon_sha256": "0e92a1ff8e65013d702cc7d17ece35badf31f46754563a195f51fbf856473f9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1468",
    "kind": "arxiv",
    "version": 1
  }
}