Pith Number

pith:T2DM77GQ

pith:2023:T2DM77GQIL6EPOKWUE5XYC3Q2I

not attested not anchored not stored refs pending

Mirkovi\'c-Vilonen Polytopes from Combinatorics

Mario Sanchez

arxiv:2311.16979 v1 · 2023-11-28 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T2DM77GQIL6EPOKWUE5XYC3Q2I}

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

2 papers in Pith

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

Ehrhart positivity for lattice path matroids

Receipt and verification

First computed	2026-07-05T07:17:49.226914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e86cffcd042fc47b956a13b7c0b70d22df6d832197d12773d6bde8facd53896

Aliases

arxiv: 2311.16979 · arxiv_version: 2311.16979v1 · doi: 10.48550/arxiv.2311.16979 · pith_short_12: T2DM77GQIL6E · pith_short_16: T2DM77GQIL6EPOKW · pith_short_8: T2DM77GQ

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/T2DM77GQIL6EPOKWUE5XYC3Q2I \
  | 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: 9e86cffcd042fc47b956a13b7c0b70d22df6d832197d12773d6bde8facd53896

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c062aa837913fb9dadef1da19182a981d7c2b201161764120fbe48b27c2ac2a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-11-28T17:29:01Z",
    "title_canon_sha256": "151594b12975ad12d583a9ed908ecbc02dc596ce94df96901be55311031ba594"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.16979",
    "kind": "arxiv",
    "version": 1
  }
}