Pith Number

pith:X4BMD2CS

pith:2016:X4BMD2CS423SNAZJVGJJBW46S5

not attested not anchored not stored refs pending

Tropical Geometry and Mechanism Design

Ngoc Mai Tran, Robert Alexander Crowell

arxiv:1606.04880 v4 · 2016-06-15 · cs.GT · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X4BMD2CS423SNAZJVGJJBW46S5}

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

The Algebraic Degree of Network Games via Tropical Geometry: A Geometric Perspective on Datta's Formula

Receipt and verification

First computed	2026-05-18T00:00:32.999525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf02c1e852e6b7268329a99290db9e9759b93200ac230a6d9946a1b8bb2a3d6e

Aliases

arxiv: 1606.04880 · arxiv_version: 1606.04880v4 · doi: 10.48550/arxiv.1606.04880 · pith_short_12: X4BMD2CS423S · pith_short_16: X4BMD2CS423SNAZJ · pith_short_8: X4BMD2CS

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/X4BMD2CS423SNAZJVGJJBW46S5 \
  | 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: bf02c1e852e6b7268329a99290db9e9759b93200ac230a6d9946a1b8bb2a3d6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6461a34f5da26e27b17f47041d4ece86b584b8594f61340f09d049a250beff4",
    "cross_cats_sorted": [
      "math.CO",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2016-06-15T17:45:19Z",
    "title_canon_sha256": "d589223157d5c2c8524534f6a975a9dd57e385c5ff000fb7b70f480f7042aacb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04880",
    "kind": "arxiv",
    "version": 4
  }
}