Pith Number

pith:ZGMOMVBW

pith:2011:ZGMOMVBWNNS2UEM4WEAVQJR5WQ

not attested not anchored not stored refs pending

Exact solution to the 1d one component Coulomb gas at fixed energy

Timothy D. Andersen

arxiv:1111.0659 v2 · 2011-11-02 · 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{ZGMOMVBWNNS2UEM4WEAVQJR5WQ}

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	2026-05-18T04:00:39.160880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c998e654366b65aa119cb10158263db40dc0fe9260a3aa7278d5e32b6ae82d71

Aliases

arxiv: 1111.0659 · arxiv_version: 1111.0659v2 · doi: 10.48550/arxiv.1111.0659 · pith_short_12: ZGMOMVBWNNS2 · pith_short_16: ZGMOMVBWNNS2UEM4 · pith_short_8: ZGMOMVBW

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/ZGMOMVBWNNS2UEM4WEAVQJR5WQ \
  | 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: c998e654366b65aa119cb10158263db40dc0fe9260a3aa7278d5e32b6ae82d71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90726ec88f5dbc7c4cc2dce592c4a5391d5480165837a60f5c4cb8ddd03db4cf",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-02T20:53:59Z",
    "title_canon_sha256": "a3ea45bdbc57c4ed61354d054f8ee52ebd766ba43688db42d922733305e2a00d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0659",
    "kind": "arxiv",
    "version": 2
  }
}