Pith Number

pith:ZBOKRY5X

pith:2018:ZBOKRY5XCGZPVYIWPXPYA3V6AM

not attested not anchored not stored refs pending

A short survey on Newton polytopes, tropical geometry and ring of conditions of algebraic torus

A. G. Khovanskii, Kiumars Kaveh

arxiv:1803.07001 v1 · 2018-03-19 · 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{ZBOKRY5XCGZPVYIWPXPYA3V6AM}

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	2026-05-18T00:20:40.594803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c85ca8e3b711b2fae1167ddf806ebe0311c7e8aa11e89cfa98621f5e07470ae7

Aliases

arxiv: 1803.07001 · arxiv_version: 1803.07001v1 · doi: 10.48550/arxiv.1803.07001 · pith_short_12: ZBOKRY5XCGZP · pith_short_16: ZBOKRY5XCGZPVYIW · pith_short_8: ZBOKRY5X

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/ZBOKRY5XCGZPVYIWPXPYA3V6AM \
  | 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: c85ca8e3b711b2fae1167ddf806ebe0311c7e8aa11e89cfa98621f5e07470ae7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dbb65155c3ef5b7c21273dcc4cb7b15deffbd53eae251389f0e73157aaeea17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-03-19T15:50:25Z",
    "title_canon_sha256": "8bb740a005901cb5cc3e0203207ed5038148540ddc5e5fea3252f6680fe31148"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07001",
    "kind": "arxiv",
    "version": 1
  }
}