Pith Number

pith:JG34QWJL

pith:2019:JG34QWJLS4HMBPTMEORO6EILF3

not attested not anchored not stored refs pending

The Eigenvalue Point Process for Symmetric Group Permutation Representations on $k$-tuples

Benjamin Tsou

arxiv:1901.06721 v1 · 2019-01-20 · math.PR · 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{JG34QWJLS4HMBPTMEORO6EILF3}

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	2026-05-17T23:55:49.342144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49b7c8592b970ec0be6c23a2ef110b2ec687314fdead61a0a08baabf413b96ea

Aliases

arxiv: 1901.06721 · arxiv_version: 1901.06721v1 · doi: 10.48550/arxiv.1901.06721 · pith_short_12: JG34QWJLS4HM · pith_short_16: JG34QWJLS4HMBPTM · pith_short_8: JG34QWJL

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/JG34QWJLS4HMBPTMEORO6EILF3 \
  | 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: 49b7c8592b970ec0be6c23a2ef110b2ec687314fdead61a0a08baabf413b96ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9ff86ba88a9c23d3e13f45f12f624cc635d9a1bb8ddc65921b6156ace769978",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-01-20T20:08:24Z",
    "title_canon_sha256": "96646f41d37e262b1929311941b806fd999310556873251f106a4e049bc15bd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.06721",
    "kind": "arxiv",
    "version": 1
  }
}