Pith Number

pith:FZTOELZW

pith:2020:FZTOELZWKKRMSPQ33CDHKPD5QB

not attested not anchored not stored refs pending

Quantum K-theory of grassmannians and non-abelian localization

Alexander Givental, Xiaohan Yan

arxiv:2008.08182 v2 · 2020-08-18 · 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{FZTOELZWKKRMSPQ33CDHKPD5QB}

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 K-theory levels in physics and math

Receipt and verification

First computed	2026-07-05T02:18:45.103110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e66e22f3652a2c93e1bd886753c7d807f0d417735072bf565f21ed97da6f269

Aliases

arxiv: 2008.08182 · arxiv_version: 2008.08182v2 · doi: 10.48550/arxiv.2008.08182 · pith_short_12: FZTOELZWKKRM · pith_short_16: FZTOELZWKKRMSPQ3 · pith_short_8: FZTOELZW

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/FZTOELZWKKRMSPQ33CDHKPD5QB \
  | 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: 2e66e22f3652a2c93e1bd886753c7d807f0d417735072bf565f21ed97da6f269

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a80fe6ce3fd389ff3a5f5c3a411734ce2a868332bd69ba019f42949adbc3eb6c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-08-18T23:05:56Z",
    "title_canon_sha256": "b7f8a62bb4235de1323834cc6caba2cf5b1c4f8e71c1508dcf4633509d1c1ef4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.08182",
    "kind": "arxiv",
    "version": 2
  }
}