Pith Number

pith:V47KADC7

pith:2013:V47KADC7PVZUK5Y4VUNRKUS7JH

not attested not anchored not stored refs pending

Tropicalization of classical moduli spaces

Bernd Sturmfels, Qingchun Ren, Steven V Sam

arxiv:1303.1132 v2 · 2013-03-05 · math.AG · cs.SC · 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{V47KADC7PVZUK5Y4VUNRKUS7JH}

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	2026-05-18T02:39:24.226295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af3ea00c5f7d7345771cad1b15525f49c92fc0e0861b80fcf34fdb770c9a88c9

Aliases

arxiv: 1303.1132 · arxiv_version: 1303.1132v2 · doi: 10.48550/arxiv.1303.1132 · pith_short_12: V47KADC7PVZU · pith_short_16: V47KADC7PVZUK5Y4 · pith_short_8: V47KADC7

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/V47KADC7PVZUK5Y4VUNRKUS7JH \
  | 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: af3ea00c5f7d7345771cad1b15525f49c92fc0e0861b80fcf34fdb770c9a88c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "401afebc137bffc5b73ca4effc9097da151d5fddf1f319715a094ff7094586f5",
    "cross_cats_sorted": [
      "cs.SC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-05T18:36:36Z",
    "title_canon_sha256": "ec334af4dd25dde9357cc8ec8c46005846dc52413a72710e3b68a17facfad741"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1132",
    "kind": "arxiv",
    "version": 2
  }
}