Pith Number

pith:PZSVV5KA

pith:2022:PZSVV5KAX77O5VVYN5NZ2IONZ3

not attested not anchored not stored refs pending

Bumpless pipe dream RSK, growth diagrams, and Schubert structure constants

Daoji Huang, Pavlo Pylyavskyy

arxiv:2206.14351 v1 · 2022-06-29 · 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{PZSVV5KAX77O5VVYN5NZ2IONZ3}

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	2026-07-05T04:36:03.426892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e655af540bffeeed6b86f5b9d21cdced52c1ffadd0efde6ceac83cbd95f31a7

Aliases

arxiv: 2206.14351 · arxiv_version: 2206.14351v1 · doi: 10.48550/arxiv.2206.14351 · pith_short_12: PZSVV5KAX77O · pith_short_16: PZSVV5KAX77O5VVY · pith_short_8: PZSVV5KA

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/PZSVV5KAX77O5VVYN5NZ2IONZ3 \
  | 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: 7e655af540bffeeed6b86f5b9d21cdced52c1ffadd0efde6ceac83cbd95f31a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2378272ef1e88490ca76d54b87dd121660ca02ca6d8b70b61be9fff9c68439b2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-06-29T01:38:15Z",
    "title_canon_sha256": "ba28c8828ea7915f42397de85c2fc0ac20d03e3ef1d8828b0886ce830bf174df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.14351",
    "kind": "arxiv",
    "version": 1
  }
}