Pith Number

pith:4UCGODGT

pith:2025:4UCGODGTLA7U35K4S23VHAAFSY

not attested not anchored not stored refs pending

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$

Changzheng Li, Jiayu Song, Mingzhi Yang, Rui Xiong

arxiv:2509.17857 v2 · 2025-09-22 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4UCGODGTLA7U35K4S23VHAAFSY}

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	2026-07-17T01:20:38.680727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e504670cd3583f4df55c96b75380059633f17d875f1c3a512a8bf5f76434bb5c

Aliases

arxiv: 2509.17857 · arxiv_version: 2509.17857v2 · doi: 10.48550/arxiv.2509.17857 · pith_short_12: 4UCGODGTLA7U · pith_short_16: 4UCGODGTLA7U35K4 · pith_short_8: 4UCGODGT

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/4UCGODGTLA7U35K4S23VHAAFSY \
  | 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: e504670cd3583f4df55c96b75380059633f17d875f1c3a512a8bf5f76434bb5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e778f5f71e715d60a807a296741e1383abb44d0ea619f643ffae507c647b5516",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-09-22T14:50:35Z",
    "title_canon_sha256": "9deef76bcfb4f26e4af633e1708831c3798e82f6af7537b22fd600d97008ecd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.17857",
    "kind": "arxiv",
    "version": 2
  }
}