Pith Number

pith:CN6546U3

pith:2014:CN6546U36Q65DNPBYXIQFYSGO3

not attested not anchored not stored refs pending

Combinatorics of Tableau Inversions

Jonathan E. Beagley, Paul Drube

arxiv:1412.6473 v2 · 2014-12-19 · 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{CN6546U36Q65DNPBYXIQFYSGO3}

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	2026-05-18T01:40:59.275219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

137dde7a9bf43dd1b5e1c5d102e24676e65ba731766bb10f0cdaa0e0f6b73d7f

Aliases

arxiv: 1412.6473 · arxiv_version: 1412.6473v2 · doi: 10.48550/arxiv.1412.6473 · pith_short_12: CN6546U36Q65 · pith_short_16: CN6546U36Q65DNPB · pith_short_8: CN6546U3

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/CN6546U36Q65DNPBYXIQFYSGO3 \
  | 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: 137dde7a9bf43dd1b5e1c5d102e24676e65ba731766bb10f0cdaa0e0f6b73d7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd29fc350926e940fd1fadc342f89ac10cd627e5642eacb214e9679cbaa4dc92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-19T18:30:14Z",
    "title_canon_sha256": "b4427e2d2cb3e35ee682a35bf5c839d2401f3bf9cfcd8856a2989d062e199ccf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6473",
    "kind": "arxiv",
    "version": 2
  }
}