Pith Number

pith:VA67YVFR

pith:2014:VA67YVFRXSEHOVHADZASCITH4H

not attested not anchored not stored refs pending

Equipopularity Classes in the Separable Permutations

Cheyne Homberger, Jay Pantone, Michael Albert

arxiv:1410.7312 v1 · 2014-10-27 · 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{VA67YVFRXSEHOVHADZASCITH4H}

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	2026-05-18T02:39:17.591716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a83dfc54b1bc887754e01e41212267e1d75626b111f47969bf116d2543d7178a

Aliases

arxiv: 1410.7312 · arxiv_version: 1410.7312v1 · doi: 10.48550/arxiv.1410.7312 · pith_short_12: VA67YVFRXSEH · pith_short_16: VA67YVFRXSEHOVHA · pith_short_8: VA67YVFR

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/VA67YVFRXSEHOVHADZASCITH4H \
  | 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: a83dfc54b1bc887754e01e41212267e1d75626b111f47969bf116d2543d7178a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81183a620410660a66ade6fa1149a38f7b791d2edf501a24371aa01e4c7d6f4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-27T17:05:32Z",
    "title_canon_sha256": "0216faaa8aa608c9fcbb40a5780927341e0fd1f5c0c5dda01f0a8bb73544e727"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7312",
    "kind": "arxiv",
    "version": 1
  }
}