Pith Number

pith:BSOT347R

pith:2010:BSOT347RT5B4DJEBMAM4C6K4AJ

not attested not anchored not stored refs pending

Tropical polar cones, hypergraph transversals, and mean payoff games

Ricardo D. Katz, Stephane Gaubert, Xavier Allamigeon

arxiv:1004.2778 v2 · 2010-04-16 · math.CO · cs.DM · 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{BSOT347RT5B4DJEBMAM4C6K4AJ}

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	2026-05-18T04:19:53.486658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c9d3df3f19f43c1a4816019c1795c027378e09ea5a3750bc4b363a6b273b63c

Aliases

arxiv: 1004.2778 · arxiv_version: 1004.2778v2 · doi: 10.48550/arxiv.1004.2778 · pith_short_12: BSOT347RT5B4 · pith_short_16: BSOT347RT5B4DJEB · pith_short_8: BSOT347R

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/BSOT347RT5B4DJEBMAM4C6K4AJ \
  | 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: 0c9d3df3f19f43c1a4816019c1795c027378e09ea5a3750bc4b363a6b273b63c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59eb91fcedf4105d3b8c107d9bb8b99f99ec1845db7f52abfd349e86a44c8d53",
    "cross_cats_sorted": [
      "cs.DM",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-04-16T08:10:23Z",
    "title_canon_sha256": "7a6221952a7710b70a0f63dd6550f9ad51ab905e0a9e06268bda66332042eb91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2778",
    "kind": "arxiv",
    "version": 2
  }
}