Pith Number

pith:NFQTUO7W

pith:2018:NFQTUO7WICVYMRQECCWWK7V7IJ

not attested not anchored not stored refs pending

Idempotent Analysis, Tropical Convexity and Reduced Divisors

Ye Luo

arxiv:1808.01987 v2 · 2018-08-06 · math.CO · math.AG · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NFQTUO7WICVYMRQECCWWK7V7IJ}

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	2026-05-17T23:59:22.443447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69613a3bf640ab86460410ad657ebf4263429db9ce0ef87fb47ea245f87b0cf1

Aliases

arxiv: 1808.01987 · arxiv_version: 1808.01987v2 · doi: 10.48550/arxiv.1808.01987 · pith_short_12: NFQTUO7WICVY · pith_short_16: NFQTUO7WICVYMRQE · pith_short_8: NFQTUO7W

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/NFQTUO7WICVYMRQECCWWK7V7IJ \
  | 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: 69613a3bf640ab86460410ad657ebf4263429db9ce0ef87fb47ea245f87b0cf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11fff62b9b7336bce0155402941b28d7dd6fc2c6515fed026a88a02f2ef4e28b",
    "cross_cats_sorted": [
      "math.AG",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-06T16:41:33Z",
    "title_canon_sha256": "ddd7dae1bf529e8d292783de5743d5ea64729653ef75ad927198d036056da8c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01987",
    "kind": "arxiv",
    "version": 2
  }
}