Pith Number

pith:AYRLE257

pith:2026:AYRLE257R5JDMEQ2MNC73L76DB

not attested not anchored not stored refs pending

Saturation property fails for Schubert coefficients

Colleen Robichaux, Igor Pak

arxiv:2601.04182 v2 · 2026-01-07 · 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{AYRLE257R5JDMEQ2MNC73L76DB}

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

Stretched Schubert coefficients are eventually quasi-polynomial

Receipt and verification

First computed	2026-07-13T01:20:05.513465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0622b26bbf8f5236121a6345fdaffe185d05c30f606f30b756cd05aaf85a173e

Aliases

arxiv: 2601.04182 · arxiv_version: 2601.04182v2 · doi: 10.48550/arxiv.2601.04182 · pith_short_12: AYRLE257R5JD · pith_short_16: AYRLE257R5JDMEQ2 · pith_short_8: AYRLE257

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/AYRLE257R5JDMEQ2MNC73L76DB \
  | 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: 0622b26bbf8f5236121a6345fdaffe185d05c30f606f30b756cd05aaf85a173e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11d19114b88a34cac621af8b4dbf3395860ec27e90d30164768517a8e0b6e2eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-01-07T18:49:59Z",
    "title_canon_sha256": "5ac2bfaed2da80a00943b06e457d631564db9e757bf35b3e2038f9143cfb796d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.04182",
    "kind": "arxiv",
    "version": 2
  }
}