Pith Number

pith:LQZ4EEMJ

pith:2014:LQZ4EEMJNW75ET5JQD66UQGPT7

not attested not anchored not stored refs pending

Convexity of tropical polytopes

Marianne Johnson, Mark Kambites

arxiv:1411.1630 v1 · 2014-11-06 · math.MG · math.AG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LQZ4EEMJNW75ET5JQD66UQGPT7}

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	2026-05-18T02:38:27.324032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c33c211896dbfd24fa980fdea40cf9fdc6b8bb2357055b7791f0962d56e7d2c

Aliases

arxiv: 1411.1630 · arxiv_version: 1411.1630v1 · doi: 10.48550/arxiv.1411.1630 · pith_short_12: LQZ4EEMJNW75 · pith_short_16: LQZ4EEMJNW75ET5J · pith_short_8: LQZ4EEMJ

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/LQZ4EEMJNW75ET5JQD66UQGPT7 \
  | 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: 5c33c211896dbfd24fa980fdea40cf9fdc6b8bb2357055b7791f0962d56e7d2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f75fa5e8969116817f776c681a8de06e512546bcfdfde80e091074f0a539d5dc",
    "cross_cats_sorted": [
      "math.AG",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-11-06T14:48:44Z",
    "title_canon_sha256": "241c7dda32a629c9fb1ab421bde30f5daccdc5bb562bf619fa85d48232688ece"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1630",
    "kind": "arxiv",
    "version": 1
  }
}