Pith Number

pith:SV3H43ZU

pith:2007:SV3H43ZULSXKVXTEBJTI6SCNK5

not attested not anchored not stored refs pending

Schur positivity of skew Schur function differences and applications to ribbons and Schubert classes

Ronald C. King, Stephanie J. van Willigenburg, Trevor A. Welsh

arxiv:0706.3253 v2 · 2007-06-22 · 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{SV3H43ZULSXKVXTEBJTI6SCNK5}

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	2026-05-18T03:00:50.131122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95767e6f345caeaade640a668f484d5755efbd343ab53a70170b8c703d65477f

Aliases

arxiv: 0706.3253 · arxiv_version: 0706.3253v2 · doi: 10.48550/arxiv.0706.3253 · pith_short_12: SV3H43ZULSXK · pith_short_16: SV3H43ZULSXKVXTE · pith_short_8: SV3H43ZU

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/SV3H43ZULSXKVXTEBJTI6SCNK5 \
  | 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: 95767e6f345caeaade640a668f484d5755efbd343ab53a70170b8c703d65477f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef4ea7b113c0810af052bb4e77dffba529907b2e1f9e8df16a750aeb1a9b3e99",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-06-22T03:10:43Z",
    "title_canon_sha256": "3bdec8c96327e8fc7380d386e00e95fd456369f81c0ecc8641a98a56b17d5957"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.3253",
    "kind": "arxiv",
    "version": 2
  }
}