Pith Number

pith:5BZPBXDV

pith:2020:5BZPBXDV7ZZ4QDYVWCSBC7MSEF

not attested not anchored not stored refs pending

The Higher Dimensional Tropical Vertex

H\"ulya Arg\"uz, Mark Gross

arxiv:2007.08347 v2 · 2020-07-16 · math.AG · math-ph · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5BZPBXDV7ZZ4QDYVWCSBC7MSEF}

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	2026-07-05T05:26:31.771582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e872f0dc75fe73c80f15b0a4117d922159a3fd13f3abc39eab1af6fb6b7cc447

Aliases

arxiv: 2007.08347 · arxiv_version: 2007.08347v2 · doi: 10.48550/arxiv.2007.08347 · pith_short_12: 5BZPBXDV7ZZ4 · pith_short_16: 5BZPBXDV7ZZ4QDYV · pith_short_8: 5BZPBXDV

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/5BZPBXDV7ZZ4QDYVWCSBC7MSEF \
  | 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: e872f0dc75fe73c80f15b0a4117d922159a3fd13f3abc39eab1af6fb6b7cc447

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02aa91be334f6da1157ad5b36d1e0e21a6f7f929b26a9247a5677369b6971279",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-07-16T14:16:37Z",
    "title_canon_sha256": "abb3574409922545e37e8b5ae3c1c65110e8fedd1d764cf3d3636cad117f179c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.08347",
    "kind": "arxiv",
    "version": 2
  }
}