Pith Number

pith:PZNHJPUC

pith:2011:PZNHJPUCBU2EIQPPWS7L5NFGFC

not attested not anchored not stored refs pending

Strongly symmetric smooth toric varieties

G. Trautmann, M. Cuntz, Y. Ren

arxiv:1108.1886 v1 · 2011-08-09 · 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{PZNHJPUCBU2EIQPPWS7L5NFGFC}

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	2026-05-18T02:29:25.586951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e5a74be820d344441efb4bebeb4a6288074879103e75fcb0039b55426c4a7a8

Aliases

arxiv: 1108.1886 · arxiv_version: 1108.1886v1 · doi: 10.48550/arxiv.1108.1886 · pith_short_12: PZNHJPUCBU2E · pith_short_16: PZNHJPUCBU2EIQPP · pith_short_8: PZNHJPUC

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/PZNHJPUCBU2EIQPPWS7L5NFGFC \
  | 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: 7e5a74be820d344441efb4bebeb4a6288074879103e75fcb0039b55426c4a7a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5400fa9ee10f659928280164d73e087bb9c24cccc3dc64cf0336aa46f987f58d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-08-09T08:54:05Z",
    "title_canon_sha256": "ba14bf43f730de5d16a3e9e9410cb2727726dd450556107ef75359f2e7d662ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1886",
    "kind": "arxiv",
    "version": 1
  }
}