Pith Number

pith:B3T7DNQS

pith:2020:B3T7DNQSGGYJVX6Y4IWLHDTUSY

not attested not anchored not stored refs pending

Double Grothendieck polynomials and colored lattice models

Travis Scrimshaw, Valentin Buciumas

arxiv:2007.04533 v2 · 2020-07-09 · math.CO · math-ph · math.KT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B3T7DNQSGGYJVX6Y4IWLHDTUSY}

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

Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $\beta$-Grothendieck polynomials

Receipt and verification

First computed	2026-07-05T02:04:09.292726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ee7f1b61231b09adfd8e22cb38e74963e6c8c191b46d1099f50922ba36eece5

Aliases

arxiv: 2007.04533 · arxiv_version: 2007.04533v2 · doi: 10.48550/arxiv.2007.04533 · pith_short_12: B3T7DNQSGGYJ · pith_short_16: B3T7DNQSGGYJVX6Y · pith_short_8: B3T7DNQS

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/B3T7DNQSGGYJVX6Y4IWLHDTUSY \
  | 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: 0ee7f1b61231b09adfd8e22cb38e74963e6c8c191b46d1099f50922ba36eece5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1172f6de2cd58ff7ff76848020d2a9c223a94ad0a0349b503273c946fb41b6a8",
    "cross_cats_sorted": [
      "math-ph",
      "math.KT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-07-09T03:28:06Z",
    "title_canon_sha256": "2aee766a30cad2a302aac55e2738a5c396e67f7844648ce5490917edd0101362"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.04533",
    "kind": "arxiv",
    "version": 2
  }
}