Pith Number

pith:MUI62Q5Y

pith:2012:MUI62Q5YZ4WEOWKOUL5X6CAZTA

not attested not anchored not stored refs pending

Expanded Vandermonde powers and sum rules for the two-dimensional one-component plasma

Gabriel Tellez, Peter J. Forrester

arxiv:1204.6003 v1 · 2012-04-26 · math-ph · cond-mat.stat-mech · 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{MUI62Q5YZ4WEOWKOUL5X6CAZTA}

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	2026-05-18T03:18:26.791091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6511ed43b8cf2c47594ea2fb7f0819983ffd9c3d6755957d8786cf31e0f1d88e

Aliases

arxiv: 1204.6003 · arxiv_version: 1204.6003v1 · doi: 10.48550/arxiv.1204.6003 · pith_short_12: MUI62Q5YZ4WE · pith_short_16: MUI62Q5YZ4WEOWKO · pith_short_8: MUI62Q5Y

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/MUI62Q5YZ4WEOWKOUL5X6CAZTA \
  | 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: 6511ed43b8cf2c47594ea2fb7f0819983ffd9c3d6755957d8786cf31e0f1d88e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58ab5ea2be819e268bb4cf10d784239630bb5b3da237327c864257cc26b43a42",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-04-26T18:58:44Z",
    "title_canon_sha256": "2f02b14e1d27f3b88ed96114d03bd0961659ab3e1136917303adb00e8494edce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6003",
    "kind": "arxiv",
    "version": 1
  }
}