Pith Number

pith:OVTYQJGQ

pith:2016:OVTYQJGQARTF7XLICVGZNPZ3U5

not attested not anchored not stored refs pending

Approximately Sampling Elements with Fixed Rank in Graded Posets

Ben Cousins, Dana Randall, Matthew Fahrbach, Prateek Bhakta

arxiv:1611.03385 v1 · 2016-11-10 · cs.DS · 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{OVTYQJGQARTF7XLICVGZNPZ3U5}

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	2026-07-05T05:59:00.490834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75678824d004665fdd68154d96bf3ba7463d3b1d91492a0e147cb2bafaae26e0

Aliases

arxiv: 1611.03385 · arxiv_version: 1611.03385v1 · doi: 10.48550/arxiv.1611.03385 · pith_short_12: OVTYQJGQARTF · pith_short_16: OVTYQJGQARTF7XLI · pith_short_8: OVTYQJGQ

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/OVTYQJGQARTF7XLICVGZNPZ3U5 \
  | 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: 75678824d004665fdd68154d96bf3ba7463d3b1d91492a0e147cb2bafaae26e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a116e9e7aa7526f0099d204f501e773d7f82220a31c83163ea2e5bb792a7fa33",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-11-10T16:27:09Z",
    "title_canon_sha256": "6cbcd11ff5bad44fb1fce465c7336d291b075250990b7b34d73e9fb4baace659"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03385",
    "kind": "arxiv",
    "version": 1
  }
}