Pith Number

pith:TBYYLCCD

pith:2025:TBYYLCCDJPOHPFICQ65H672VFW

not attested not anchored not stored refs pending

Signed puzzles for Schubert coefficients

Colleen Robichaux, Igor Pak

arxiv:2504.17734 v1 · 2025-04-24 · 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{TBYYLCCDJPOHPFICQ65H672VFW}

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	2026-07-05T10:53:40.233064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98718588434bdc77950287ba7f7f552db13b66459d2cee1c426186d058696215

Aliases

arxiv: 2504.17734 · arxiv_version: 2504.17734v1 · doi: 10.48550/arxiv.2504.17734 · pith_short_12: TBYYLCCDJPOH · pith_short_16: TBYYLCCDJPOHPFIC · pith_short_8: TBYYLCCD

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/TBYYLCCDJPOHPFICQ65H672VFW \
  | 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: 98718588434bdc77950287ba7f7f552db13b66459d2cee1c426186d058696215

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc835bb024df478fc6c03656651e25d6536395fd9458f8e8394796edee5dafe2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-04-24T16:47:38Z",
    "title_canon_sha256": "1a1d16be32fca0e0f5565cc7a6a22d6a6dd424e5fdc8048fa39b7125576be8f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.17734",
    "kind": "arxiv",
    "version": 1
  }
}