Pith Number

pith:FD3GHRDJ

pith:2026:FD3GHRDJYUA2XBS5PR3HBBPVN3

not attested not anchored not stored refs pending

Stability of Type A Mirkovi\'c-Vilonen Polytopes under Minkowski Sum via Weak Separation

Fang Li, Gleb A. Koshevoy, Lujun Zhang

arxiv:2605.25023 v1 · 2026-05-24 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FD3GHRDJYUA2XBS5PR3HBBPVN3}

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	2026-05-26T01:04:10.987437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28f663c469c501ab865d7c767085f56ee1e4df3a4c8fafc8d0392d19665a859c

Aliases

arxiv: 2605.25023 · arxiv_version: 2605.25023v1 · doi: 10.48550/arxiv.2605.25023 · pith_short_12: FD3GHRDJYUA2 · pith_short_16: FD3GHRDJYUA2XBS5 · pith_short_8: FD3GHRDJ

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/FD3GHRDJYUA2XBS5PR3HBBPVN3 \
  | 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: 28f663c469c501ab865d7c767085f56ee1e4df3a4c8fafc8d0392d19665a859c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2363ca79d9917fdeadd6b06ff97a7a368e1a8b0b14f3f3d5281221db7b59c4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-05-24T12:02:50Z",
    "title_canon_sha256": "584f0db5aee01c8190394abceed2a31fef8fabdec20b30bf720576370aa8286d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25023",
    "kind": "arxiv",
    "version": 1
  }
}