Pith Number

pith:VBHXP5KA

pith:2018:VBHXP5KAPCKO5TYELFGX4K7OUD

not attested not anchored not stored refs pending

Back stable Schubert calculus

Mark Shimozono, Seung Jin Lee, Thomas Lam

arxiv:1806.11233 v2 · 2018-06-29 · math.CO · 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{VBHXP5KAPCKO5TYELFGX4K7OUD}

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

Hybrid pipe dreams for the lower-upper scheme

Receipt and verification

First computed	2026-07-05T02:54:09.500972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a84f77f5407894eecf04594d7e2beea0dabae1b82a88429343aa6f9f858ab1c7

Aliases

arxiv: 1806.11233 · arxiv_version: 1806.11233v2 · doi: 10.48550/arxiv.1806.11233 · pith_short_12: VBHXP5KAPCKO · pith_short_16: VBHXP5KAPCKO5TYE · pith_short_8: VBHXP5KA

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/VBHXP5KAPCKO5TYELFGX4K7OUD \
  | 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: a84f77f5407894eecf04594d7e2beea0dabae1b82a88429343aa6f9f858ab1c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6844f17a451921a1b352f15cb676d614a3d2065fecf069b79a401ad1615d25fc",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-29T00:14:31Z",
    "title_canon_sha256": "af49996cb409383a60a4b10c0c688ee731c3be1b0ed20108a30e169857db1e7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.11233",
    "kind": "arxiv",
    "version": 2
  }
}