Pith Number

pith:HW6ZQP4Q

pith:2017:HW6ZQP4Q5JAVTUSSLTMLDRIZCO

not attested not anchored not stored refs pending

From standard monomial theory to semi-toric degenerations via Newton-Okounkov bodies

Peter Littelmann, Xin Fang

arxiv:1709.09734 v1 · 2017-09-27 · math.AG · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HW6ZQP4Q5JAVTUSSLTMLDRIZCO}

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	2026-05-18T00:18:46.215075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dbd983f90ea4159d2525cd8b1c51913a58f8d556f1138be0703529ed39bdbe2

Aliases

arxiv: 1709.09734 · arxiv_version: 1709.09734v1 · doi: 10.48550/arxiv.1709.09734 · pith_short_12: HW6ZQP4Q5JAV · pith_short_16: HW6ZQP4Q5JAVTUSS · pith_short_8: HW6ZQP4Q

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/HW6ZQP4Q5JAVTUSSLTMLDRIZCO \
  | 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: 3dbd983f90ea4159d2525cd8b1c51913a58f8d556f1138be0703529ed39bdbe2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e75200cb7c666ba8826bbae064bd307e56586456325e7dd1abdd403c69f7358c",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-09-27T21:00:20Z",
    "title_canon_sha256": "0cf9101fcd38e6bf103f03d26fd24851efd0cd99b4f3ba145119e2b5a79752f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09734",
    "kind": "arxiv",
    "version": 1
  }
}