Pith Number

pith:BJMVDPUE

pith:2011:BJMVDPUEZ34NJPLRVCXT3OMOSM

not attested not anchored not stored refs pending

Doubly-refined enumeration of Alternating Sign Matrices and determinants of 2-staircase Schur functions

Andrea Sportiello, Luigi Cantini, Philippe Biane

arxiv:1101.3427 v1 · 2011-01-18 · 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{BJMVDPUEZ34NJPLRVCXT3OMOSM}

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	2026-05-18T04:31:23.006157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a5951be84cef8d4bd71a8af3db98e9322f02fdcba8421a6682401a58ae1fa4d

Aliases

arxiv: 1101.3427 · arxiv_version: 1101.3427v1 · doi: 10.48550/arxiv.1101.3427 · pith_short_12: BJMVDPUEZ34N · pith_short_16: BJMVDPUEZ34NJPLR · pith_short_8: BJMVDPUE

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/BJMVDPUEZ34NJPLRVCXT3OMOSM \
  | 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: 0a5951be84cef8d4bd71a8af3db98e9322f02fdcba8421a6682401a58ae1fa4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61d8fe56236d60c12da71b5fa0ac8eca364194e41b36b3d0f367817ddf62554b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-18T11:50:47Z",
    "title_canon_sha256": "9f5901e5a38d4b5d55c6ac6b14dca45f3e524a94840ce64b9f1a44225345196a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3427",
    "kind": "arxiv",
    "version": 1
  }
}