Pith Number

pith:TZICRGN6

pith:2019:TZICRGN6AC7M52FMJW7RE7M2KH

not attested not anchored not stored refs pending

Grothendieck polynomials and the Boson-Fermion correspondence

Shinsuke Iwao

arxiv:1905.07692 v4 · 2019-05-19 · math.CO · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZICRGN6AC7M52FMJW7RE7M2KH}

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

Integrability approach to Feher-Nemethi-Rimanyi-Guo-Sun type identities for factorial Grothendieck polynomials

Receipt and verification

First computed	2026-07-05T01:43:37.429481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e502899be00becee8ac4dbf127d9a51c022415743b4a14ce60fa6d48eaaa925

Aliases

arxiv: 1905.07692 · arxiv_version: 1905.07692v4 · doi: 10.48550/arxiv.1905.07692 · pith_short_12: TZICRGN6AC7M · pith_short_16: TZICRGN6AC7M52FM · pith_short_8: TZICRGN6

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/TZICRGN6AC7M52FMJW7RE7M2KH \
  | 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: 9e502899be00becee8ac4dbf127d9a51c022415743b4a14ce60fa6d48eaaa925

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c9e989c5f00374d70b8f16f528f03a98b1b70182ecc1ccdc7272168236152a7",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-19T06:52:39Z",
    "title_canon_sha256": "d061077b81bf4dec852c1dbffa21d811ca21f8c0f59b02761cf1e5dcb8e0d11a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.07692",
    "kind": "arxiv",
    "version": 4
  }
}