Pith Number

pith:PBHLZFMX

pith:2026:PBHLZFMXDWPGTZODM2IHKYITIK

not attested not anchored not stored refs pending

On the Schubert calculus of the quantum K-theory for partial flag manifolds: a 3d A-model perspective

Hao Zou, Osama Khlaif, Zhihao Duan

arxiv:2606.15261 v2 · 2026-06-13 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBHLZFMXDWPGTZODM2IHKYITIK}

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	2026-06-25T01:17:55.014010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

784ebc95971d9e69e5c366907561134293985fecfc2d6bf172ea87d8493c4123

Aliases

arxiv: 2606.15261 · arxiv_version: 2606.15261v2 · doi: 10.48550/arxiv.2606.15261 · pith_short_12: PBHLZFMXDWPG · pith_short_16: PBHLZFMXDWPGTZOD · pith_short_8: PBHLZFMX

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/PBHLZFMXDWPGTZODM2IHKYITIK \
  | 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: 784ebc95971d9e69e5c366907561134293985fecfc2d6bf172ea87d8493c4123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "483fe0f519fdcfdc5b082e42c0577acc25811390506a21198d4ee627921f3c5f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-13T11:39:01Z",
    "title_canon_sha256": "d9fb3243bf69366ded0dce6938a96ffc15e1a9423ac42df57c08da7e36cf62c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.15261",
    "kind": "arxiv",
    "version": 2
  }
}