Pith Number

pith:MUAUGJXJ

pith:2023:MUAUGJXJGFOYWES7GCCNODD2AF

not attested not anchored not stored refs pending

Universal Pl\"ucker coordinates for the Wronski map and positivity in real Schubert calculus

Kevin Purbhoo, Steven N. Karp

arxiv:2309.04645 v2 · 2023-09-09 · math.RT · math.AG · math.CO · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MUAUGJXJGFOYWES7GCCNODD2AF}

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	2026-06-19T16:09:45.420442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65014326e9315d8b125f3084d70c7a016a853c4069b2414535063b38ff2ab795

Aliases

arxiv: 2309.04645 · arxiv_version: 2309.04645v2 · doi: 10.48550/arxiv.2309.04645 · pith_short_12: MUAUGJXJGFOY · pith_short_16: MUAUGJXJGFOYWES7 · pith_short_8: MUAUGJXJ

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/MUAUGJXJGFOYWES7GCCNODD2AF \
  | 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: 65014326e9315d8b125f3084d70c7a016a853c4069b2414535063b38ff2ab795

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3f50ab2a7226cef53292d9598503f4583517d8fd6aa7b754aa3d6adfc30b05d",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2023-09-09T00:05:55Z",
    "title_canon_sha256": "39c0dcb295b4ca09f7a7bfe9eef55d0259770564a74a3b678fdb7952bc8db5c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.04645",
    "kind": "arxiv",
    "version": 2
  }
}