Pith Number

pith:37DOWSZ3

pith:2023:37DOWSZ32JQ6NHBRMZBZACQJCA

not attested not anchored not stored refs pending

Schubert puzzles and integrability III: separated descents

Allen Knutson, Paul Zinn-Justin

arxiv:2306.13855 v1 · 2023-06-24 · 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{37DOWSZ32JQ6NHBRMZBZACQJCA}

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.

Cited by

1 paper in Pith

Graham positivity of triple Schubert calculus

Receipt and verification

First computed	2026-07-05T06:24:16.798187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfc6eb4b3bd261e69c316643900a0910119ee3da8e4b9502d854b7d476de1e61

Aliases

arxiv: 2306.13855 · arxiv_version: 2306.13855v1 · doi: 10.48550/arxiv.2306.13855 · pith_short_12: 37DOWSZ32JQ6 · pith_short_16: 37DOWSZ32JQ6NHBR · pith_short_8: 37DOWSZ3

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/37DOWSZ32JQ6NHBRMZBZACQJCA \
  | 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: dfc6eb4b3bd261e69c316643900a0910119ee3da8e4b9502d854b7d476de1e61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da7aacbde0d9ebfd0b0f907009bd3149f78146f76a83f017ec7c74afd973ab3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-06-24T04:06:55Z",
    "title_canon_sha256": "00ec7b42d47ed76d54ae05d3ed290104482922dd80263cb13ad8709e08ba8cfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.13855",
    "kind": "arxiv",
    "version": 1
  }
}