Pith Number

pith:EMKYE2XS

pith:2008:EMKYE2XSQJ74DO3WI47TMQKZS5

not attested not anchored not stored refs pending

q-analog of tableau containment

Jang Soo Kim

arxiv:0812.1256 v2 · 2008-12-06 · 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{EMKYE2XSQJ74DO3WI47TMQKZS5}

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	2026-05-18T04:14:38.374287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2315826af2827fc1bb76473f3641599768d6f239a53b434ad7112a4adc731206

Aliases

arxiv: 0812.1256 · arxiv_version: 0812.1256v2 · doi: 10.48550/arxiv.0812.1256 · pith_short_12: EMKYE2XSQJ74 · pith_short_16: EMKYE2XSQJ74DO3W · pith_short_8: EMKYE2XS

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/EMKYE2XSQJ74DO3WI47TMQKZS5 \
  | 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: 2315826af2827fc1bb76473f3641599768d6f239a53b434ad7112a4adc731206

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f71589c42bc7cd1512dd9146df809f62a28243877530dcbf75d90c5f5fbac7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-12-06T03:08:46Z",
    "title_canon_sha256": "d549f0b1569dbc49371ac026beb2a9311b6ce9986cbbcc27b1d6f51eb9014aeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.1256",
    "kind": "arxiv",
    "version": 2
  }
}