Pith Number

pith:5XUHAFLW

pith:2016:5XUHAFLWXNCK6QO5HJFTUUTNHB

not attested not anchored not stored refs pending

Face monoid actions and tropical hyperplane arrangements

Marianne Johnson, Mark Kambites

arxiv:1604.03016 v1 · 2016-04-11 · 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{5XUHAFLWXNCK6QO5HJFTUUTNHB}

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	2026-05-18T01:16:38.911439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ede8701576bb44af41dd3a4b3a526d386964980f2fc0524ee6324f1240c85aa9

Aliases

arxiv: 1604.03016 · arxiv_version: 1604.03016v1 · doi: 10.48550/arxiv.1604.03016 · pith_short_12: 5XUHAFLWXNCK · pith_short_16: 5XUHAFLWXNCK6QO5 · pith_short_8: 5XUHAFLW

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/5XUHAFLWXNCK6QO5HJFTUUTNHB \
  | 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: ede8701576bb44af41dd3a4b3a526d386964980f2fc0524ee6324f1240c85aa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "935e0c6bbf35a132b9b4f7323648e1e01001d19da961d89b9c741f5286302f98",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-11T16:11:16Z",
    "title_canon_sha256": "ce1cc0cabd4660e1f88b4e47ceca9130a7876159fdedfd05c700c40fdf87a270"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03016",
    "kind": "arxiv",
    "version": 1
  }
}