Pith Number

pith:VCP2GMK3

pith:2013:VCP2GMK3KOQM3NRGSO6Z2AW4UD

not attested not anchored not stored refs pending

Limit operators for circular ensembles

Ashkan Nikeghbali, Joseph Najnudel, Kenneth Maples

arxiv:1304.3757 v2 · 2013-04-13 · 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{VCP2GMK3KOQM3NRGSO6Z2AW4UD}

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	2026-05-18T02:43:16.574647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a89fa3315b53a0cdb62693bd9d02dca0fa717bf68ad341a343ec9a60903796b7

Aliases

arxiv: 1304.3757 · arxiv_version: 1304.3757v2 · doi: 10.48550/arxiv.1304.3757 · pith_short_12: VCP2GMK3KOQM · pith_short_16: VCP2GMK3KOQM3NRG · pith_short_8: VCP2GMK3

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/VCP2GMK3KOQM3NRGSO6Z2AW4UD \
  | 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: a89fa3315b53a0cdb62693bd9d02dca0fa717bf68ad341a343ec9a60903796b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c75075433fe7e9eb25faefb418595df04d83df61c504973d2bde5c2318996db9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-13T01:42:43Z",
    "title_canon_sha256": "01b0f5472f6f3d496881147e963bb26b3a78c310fbc1c46a98daa2428efe93e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3757",
    "kind": "arxiv",
    "version": 2
  }
}