Pith Number

pith:GNNFSCDL

pith:2008:GNNFSCDLBGTJ6JMBCOGOQFO7ES

not attested not anchored not stored refs pending

How to Draw Tropical Planes

Anders Jensen, Bernd Sturmfels, Michael Joswig, Sven Herrmann

arxiv:0808.2383 v4 · 2008-08-18 · 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{GNNFSCDLBGTJ6JMBCOGOQFO7ES}

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	2026-05-18T02:30:48.174806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

335a59086b09a69f2581138ce815df249f785e79aa02ff4d233a0a0bca40255e

Aliases

arxiv: 0808.2383 · arxiv_version: 0808.2383v4 · doi: 10.48550/arxiv.0808.2383 · pith_short_12: GNNFSCDLBGTJ · pith_short_16: GNNFSCDLBGTJ6JMB · pith_short_8: GNNFSCDL

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/GNNFSCDLBGTJ6JMBCOGOQFO7ES \
  | 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: 335a59086b09a69f2581138ce815df249f785e79aa02ff4d233a0a0bca40255e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7743da0efe1204939500c9d3422232f1abb6791f5a2b6dcb491c3e16c40419f9",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-08-18T17:02:59Z",
    "title_canon_sha256": "cd9983f04e52e9f5421c26ff13c0101975df074bf8d0c67e17ccbfda559d23d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2383",
    "kind": "arxiv",
    "version": 4
  }
}