Pith Number

pith:VBOLF45I

pith:2012:VBOLF45IBHVK2PQ6MZKZ2B4TAR

not attested not anchored not stored refs pending

Alternating permutations with restrictions and standard Young tableaux

Sherry H. F. Yan, Yuexiao Xu

arxiv:1203.4653 v1 · 2012-03-21 · 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{VBOLF45IBHVK2PQ6MZKZ2B4TAR}

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	2026-05-18T03:59:37.543876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a85cb2f3a809eaad3e1e66559d0793044e0005459184e7d0747e5ebf77d65984

Aliases

arxiv: 1203.4653 · arxiv_version: 1203.4653v1 · doi: 10.48550/arxiv.1203.4653 · pith_short_12: VBOLF45IBHVK · pith_short_16: VBOLF45IBHVK2PQ6 · pith_short_8: VBOLF45I

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/VBOLF45IBHVK2PQ6MZKZ2B4TAR \
  | 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: a85cb2f3a809eaad3e1e66559d0793044e0005459184e7d0747e5ebf77d65984

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "831cd49e532e74fd7f0d8f5da0a7d3567546cc95f9d973b0d37c34d9341642a2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-21T04:52:35Z",
    "title_canon_sha256": "ab5f149ae2bd52ea63e91d8e166fefd9cd0a0c57403f50473bf231c08a3c20a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4653",
    "kind": "arxiv",
    "version": 1
  }
}