Pith Number

pith:WMDY3GP5

pith:2026:WMDY3GP5BJX4DOH6R2Y32RB6JT

not attested not anchored not stored refs pending

Polyhedral models for K-theory of toric and flag varieties

Evgeny Smirnov, Leonid Monin

arxiv:2606.07142 v1 · 2026-06-05 · math.AG · math.AC · 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{WMDY3GP5BJX4DOH6R2Y32RB6JT}

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	2026-06-08T01:04:48.901900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3078d99fd0a6fc1b8fe8eb1bd443e4cfbb304ef1b0331040170397aeb811c6c

Aliases

arxiv: 2606.07142 · arxiv_version: 2606.07142v1 · doi: 10.48550/arxiv.2606.07142 · pith_short_12: WMDY3GP5BJX4 · pith_short_16: WMDY3GP5BJX4DOH6 · pith_short_8: WMDY3GP5

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/WMDY3GP5BJX4DOH6R2Y32RB6JT \
  | 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: b3078d99fd0a6fc1b8fe8eb1bd443e4cfbb304ef1b0331040170397aeb811c6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40a9fb0c5d3dc44b3f2f1a0b1f438d7345c3ab24c399d70b94d12880b99d0158",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-05T10:56:16Z",
    "title_canon_sha256": "5097b6fd2b09ba105745cce5de93ad4e4810a0a0304babb0ffa500cb3a5bd93d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07142",
    "kind": "arxiv",
    "version": 1
  }
}