Pith Number

pith:6LVYMLPZ

pith:2014:6LVYMLPZ32YPWSL3WPCIVFCP2A

not attested not anchored not stored refs pending

Sharper lower and upper bounds for the gaussian rank of a graph

Emanuel Ben-David

arxiv:1406.4777 v2 · 2014-06-18 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6LVYMLPZ32YPWSL3WPCIVFCP2A}

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	2026-05-18T02:45:57.675820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2eb862df9deb0fb497bb3c48a944fd00def9085048d6af8cfc3550812288b17

Aliases

arxiv: 1406.4777 · arxiv_version: 1406.4777v2 · doi: 10.48550/arxiv.1406.4777 · pith_short_12: 6LVYMLPZ32YP · pith_short_16: 6LVYMLPZ32YPWSL3 · pith_short_8: 6LVYMLPZ

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/6LVYMLPZ32YPWSL3WPCIVFCP2A \
  | 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: f2eb862df9deb0fb497bb3c48a944fd00def9085048d6af8cfc3550812288b17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cb0beb7722c31df9f5807f5ff2d0f2b41f80f8a74f017e65f780e968a6834b5",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2014-06-18T15:55:09Z",
    "title_canon_sha256": "4baf1e238b9640f8f32e7657a0a791145072239286e96ca0fe0f5b5358a35bab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4777",
    "kind": "arxiv",
    "version": 2
  }
}