Pith Number

pith:7QNBPDLR

pith:2013:7QNBPDLREAYAUO4G5CYTHXVTKV

not attested not anchored not stored refs pending

Distribution of logarithmic spectra of the equilibrium energy

Catriona Maclean (IF), Huayi Chen (IF)

arxiv:1304.5842 v3 · 2013-04-22 · math.MG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7QNBPDLREAYAUO4G5CYTHXVTKV}

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	2026-05-18T03:10:26.578478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc1a178d7120300a3b86e8b133deb355503057be5223d57d09e2a86bf1048e25

Aliases

arxiv: 1304.5842 · arxiv_version: 1304.5842v3 · doi: 10.48550/arxiv.1304.5842 · pith_short_12: 7QNBPDLREAYA · pith_short_16: 7QNBPDLREAYAUO4G · pith_short_8: 7QNBPDLR

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/7QNBPDLREAYAUO4G5CYTHXVTKV \
  | 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: fc1a178d7120300a3b86e8b133deb355503057be5223d57d09e2a86bf1048e25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "735706d4801edf5cef3e93a9a4d9a3a8079c9eb2ce6db27ed4081fc5595265c8",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-04-22T06:04:31Z",
    "title_canon_sha256": "b962340d69f286a2adf5acec13d6697c4caa51aa59253d8e8fff89899942ed0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5842",
    "kind": "arxiv",
    "version": 3
  }
}