Pith Number

pith:VPZVIOI2

pith:2020:VPZVIOI2P5WPBCNHW427QHO6SC

not attested not anchored not stored refs pending

Newton-Okounkov bodies of flag varieties and combinatorial mutations

Akihiro Higashitani, Naoki Fujita

arxiv:2003.10837 v2 · 2020-03-21 · math.RT · math.AG · 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{VPZVIOI2P5WPBCNHW427QHO6SC}

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	2026-07-05T11:42:16.146325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abf354391a7f6cf089a7b735f81dde9091e4d99ea0f6819e733fc47750b995e5

Aliases

arxiv: 2003.10837 · arxiv_version: 2003.10837v2 · doi: 10.48550/arxiv.2003.10837 · pith_short_12: VPZVIOI2P5WP · pith_short_16: VPZVIOI2P5WPBCNH · pith_short_8: VPZVIOI2

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/VPZVIOI2P5WPBCNHW427QHO6SC \
  | 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: abf354391a7f6cf089a7b735f81dde9091e4d99ea0f6819e733fc47750b995e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "869e56af36631a81b435e595671f3ac27086ebe1cd4b7292632084726abc2e98",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2020-03-21T00:10:55Z",
    "title_canon_sha256": "19870a29bc3fe27cf07a5393a70e9cee05a6463f26b42c49e2392ae54b39044c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.10837",
    "kind": "arxiv",
    "version": 2
  }
}