Pith Number

pith:5CWMPN4D

pith:2012:5CWMPN4DJA5SENYFXBJ2IIKS22

not attested not anchored not stored refs pending

Freezing Transition, Characteristic Polynomials of Random Matrices, and the Riemann Zeta-Function

Ghaith A Hiary, Jonathan P. Keating, Yan V. Fyodorov

arxiv:1202.4713 v2 · 2012-02-21 · math-ph · cond-mat.dis-nn · cond-mat.stat-mech · math.MP · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5CWMPN4DJA5SENYFXBJ2IIKS22}

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	2026-05-18T03:22:52.167793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8acc7b783483b223705b853a42152d6aab65ce95128c159d5c742d88f893508

Aliases

arxiv: 1202.4713 · arxiv_version: 1202.4713v2 · doi: 10.48550/arxiv.1202.4713 · pith_short_12: 5CWMPN4DJA5S · pith_short_16: 5CWMPN4DJA5SENYF · pith_short_8: 5CWMPN4D

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/5CWMPN4DJA5SENYFXBJ2IIKS22 \
  | 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: e8acc7b783483b223705b853a42152d6aab65ce95128c159d5c742d88f893508

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fac1c64347023980ae6bf3db9153eb534244a54686368b0152cb5da3c3c7002",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech",
      "math.MP",
      "math.NT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-02-21T17:39:16Z",
    "title_canon_sha256": "9f5deacde50c149c1f69a832ac70f11d4f62e315427cfb8f3359e6e2928bcac1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4713",
    "kind": "arxiv",
    "version": 2
  }
}