Pith Number

pith:F42K6GKE

pith:2017:F42K6GKEXBJJEVUBXDNYEE5SZ4

not attested not anchored not stored refs pending

Linear and Rational Factorization of Tropical Polynomials

Bo Lin, Ngoc Mai Tran

arxiv:1707.03332 v3 · 2017-07-11 · 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{F42K6GKEXBJJEVUBXDNYEE5SZ4}

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.

Cited by

1 paper in Pith

Tropical geometry

Receipt and verification

First computed	2026-07-05T00:24:34.212766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f34af1944b852925681b8db8213b2cf35d5cbaabc5dcddd49b1619f572e1c5f

Aliases

arxiv: 1707.03332 · arxiv_version: 1707.03332v3 · doi: 10.48550/arxiv.1707.03332 · pith_short_12: F42K6GKEXBJJ · pith_short_16: F42K6GKEXBJJEVUB · pith_short_8: F42K6GKE

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/F42K6GKEXBJJEVUBXDNYEE5SZ4 \
  | 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: 2f34af1944b852925681b8db8213b2cf35d5cbaabc5dcddd49b1619f572e1c5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60883779a259dc810484d9bbd35f0941f9a8baacb87c1b3bdcdff1a07e00c252",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-11T15:42:37Z",
    "title_canon_sha256": "a47a18c61b34e7323d92b014a9536ca5808c8c86996952e57bf536a2af08a02d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03332",
    "kind": "arxiv",
    "version": 3
  }
}