Pith Number

pith:KFLA5DSC

pith:2015:KFLA5DSCRZI3HFMMYVZ5IYK5SL

not attested not anchored not stored refs pending

Wonderful Symmetric Varieties and Schubert Polynomials

Benjamin Wyser, Mahir Bilen Can, Michael Joyce

arxiv:1509.03292 v3 · 2015-09-10 · math.AG · 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{KFLA5DSCRZI3HFMMYVZ5IYK5SL}

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	2026-05-18T00:28:27.445394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51560e8e428e51b3958cc573d4615d92f6bcb52df5ebc1d93e17ed6575c75d58

Aliases

arxiv: 1509.03292 · arxiv_version: 1509.03292v3 · doi: 10.48550/arxiv.1509.03292 · pith_short_12: KFLA5DSCRZI3 · pith_short_16: KFLA5DSCRZI3HFMM · pith_short_8: KFLA5DSC

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/KFLA5DSCRZI3HFMMYVZ5IYK5SL \
  | 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: 51560e8e428e51b3958cc573d4615d92f6bcb52df5ebc1d93e17ed6575c75d58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67ce4916ba0ffdccb86f7f66ee379b489e9e93ee2160180a18f7341e7841dccf",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-10T19:40:16Z",
    "title_canon_sha256": "7276e8ecda4b2e047cac6e08151cde44e0fdc64df7bb63d200d18981a6fd402a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03292",
    "kind": "arxiv",
    "version": 3
  }
}