Pith Number

pith:324SQIUD

pith:2018:324SQIUDQKNVD3GIKG6Y3JTFFH

not attested not anchored not stored refs pending

Families of major index distributions: closed forms and unimodality

William J. Keith

arxiv:1808.01362 v1 · 2018-08-03 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{324SQIUDQKNVD3GIKG6Y3JTFFH}

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	2026-05-18T00:08:53.242413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deb9282283829b51ecc851bd8da66529dcd1d0b8609d2df7d8990adc0179d6c6

Aliases

arxiv: 1808.01362 · arxiv_version: 1808.01362v1 · doi: 10.48550/arxiv.1808.01362 · pith_short_12: 324SQIUDQKNV · pith_short_16: 324SQIUDQKNVD3GI · pith_short_8: 324SQIUD

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/324SQIUDQKNVD3GIKG6Y3JTFFH \
  | 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: deb9282283829b51ecc851bd8da66529dcd1d0b8609d2df7d8990adc0179d6c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4262c971ffa92d916ab7ce5fb82733cd89748c60dca5136cf864c5285e82d00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-03T21:11:58Z",
    "title_canon_sha256": "0c9f09e19b8e7b192028ef2866dad9d535627393e3e91f7f8266864c7709e2d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01362",
    "kind": "arxiv",
    "version": 1
  }
}