Pith Number

pith:AO2YMXC7

pith:2017:AO2YMXC77NSVD7CLHU5RDZX63C

not attested not anchored not stored refs pending

Newton-Okounkov polytopes of Bott-Samelson varieties as Minkowski sums

Valentina Kiritchenko

arxiv:1801.00334 v1 · 2017-12-31 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AO2YMXC77NSVD7CLHU5RDZX63C}

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	2026-05-18T00:26:58.653924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03b5865c5ffb6551fc4b3d3b11e6fed898c2b46845e3040cefa37425e48e6213

Aliases

arxiv: 1801.00334 · arxiv_version: 1801.00334v1 · doi: 10.48550/arxiv.1801.00334 · pith_short_12: AO2YMXC77NSV · pith_short_16: AO2YMXC77NSVD7CL · pith_short_8: AO2YMXC7

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/AO2YMXC77NSVD7CLHU5RDZX63C \
  | 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: 03b5865c5ffb6551fc4b3d3b11e6fed898c2b46845e3040cefa37425e48e6213

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6221a14b0e216df0b660476d32c5d685852a263f7fcd09a990163bdf3dedf0b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-31T18:22:08Z",
    "title_canon_sha256": "324277511bb3b620c95c44c6297de274c525e917e2c240c5de5845e8dba748de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00334",
    "kind": "arxiv",
    "version": 1
  }
}