Pith Number

pith:VRABA4UA

pith:2018:VRABA4UAUUV3OR65L4NYMBHV3Y

not attested not anchored not stored refs pending

A Polyhedral Method for Sparse Systems with many Positive Solutions

Francisco Santos, Fr\'ed\'eric Bihan, Pierre-Jean Spaenlehauer

arxiv:1804.05683 v3 · 2018-04-16 · math.CO · 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{VRABA4UAUUV3OR65L4NYMBHV3Y}

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	2026-05-17T23:44:32.589608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac40107280a52bb747dd5f1b8604f5de0c6198d0b75488577b3e91b1f833ecc9

Aliases

arxiv: 1804.05683 · arxiv_version: 1804.05683v3 · doi: 10.48550/arxiv.1804.05683 · pith_short_12: VRABA4UAUUV3 · pith_short_16: VRABA4UAUUV3OR65 · pith_short_8: VRABA4UA

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/VRABA4UAUUV3OR65L4NYMBHV3Y \
  | 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: ac40107280a52bb747dd5f1b8604f5de0c6198d0b75488577b3e91b1f833ecc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e972dc7c0e05888a47a1a8a088b45b464ec352f8c0339c8c2b19e6cf870d0bc",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-16T13:53:11Z",
    "title_canon_sha256": "10645f6c92ba736d6cecafb8458e654feb6132ae6d7b090534c15aa711ba246b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05683",
    "kind": "arxiv",
    "version": 3
  }
}