Pith Number

pith:IU4MBV5Y

pith:2017:IU4MBV5Y5V6HYCDFGJCQT3OJTE

not attested not anchored not stored refs pending

Mustafin varieties, moduli spaces and tropical geometry

Binglin Li, Marvin Anas Hahn

arxiv:1707.01216 v2 · 2017-07-05 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IU4MBV5Y5V6HYCDFGJCQT3OJTE}

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	2026-05-18T00:02:13.476600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4538c0d7b8ed7c7c0865324509edc99914cb4549a352a2fc2f1e3691f57610e9

Aliases

arxiv: 1707.01216 · arxiv_version: 1707.01216v2 · doi: 10.48550/arxiv.1707.01216 · pith_short_12: IU4MBV5Y5V6H · pith_short_16: IU4MBV5Y5V6HYCDF · pith_short_8: IU4MBV5Y

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/IU4MBV5Y5V6HYCDFGJCQT3OJTE \
  | 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: 4538c0d7b8ed7c7c0865324509edc99914cb4549a352a2fc2f1e3691f57610e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd985b595dbc5346df89e187b4716994da6b3d123a78d0e0ae5259cc77660478",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-07-05T05:25:56Z",
    "title_canon_sha256": "020f66be9811a3a587bbab4cf5ec8924af0f2d04af7b16a9f1a72674d437a46a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01216",
    "kind": "arxiv",
    "version": 2
  }
}