Pith Number

pith:5YG4JH7M

pith:2011:5YG4JH7MCJEQ2IENQ5A7KX2Y7M

not attested not anchored not stored refs pending

Decomposing Inversion Sets of Permutations and Applications to Faces of the Littlewood-Richardson Cone

A. McCabe, D. Wehlau, I. Dimitrov, J. Wilson, M. Roth, R. Dewji

arxiv:1110.5880 v2 · 2011-10-26 · math.CO · math.AG · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5YG4JH7MCJEQ2IENQ5A7KX2Y7M}

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	2026-05-18T02:43:45.806953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee0dc49fec12490d208d8741f55f58fb27eef77ac2122d3ee3ce423c523d9006

Aliases

arxiv: 1110.5880 · arxiv_version: 1110.5880v2 · doi: 10.48550/arxiv.1110.5880 · pith_short_12: 5YG4JH7MCJEQ · pith_short_16: 5YG4JH7MCJEQ2IEN · pith_short_8: 5YG4JH7M

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/5YG4JH7MCJEQ2IENQ5A7KX2Y7M \
  | 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: ee0dc49fec12490d208d8741f55f58fb27eef77ac2122d3ee3ce423c523d9006

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "980443219d8f420e383bd49fa6195f73d241c59ebc0201009753000b2af01767",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-26T19:08:46Z",
    "title_canon_sha256": "1e6be2f04c4680c6181ff9121befe963f2f397d26b9decfab3ff2a7782b1e2d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5880",
    "kind": "arxiv",
    "version": 2
  }
}