Pith Number

pith:4PUGXE3X

pith:2013:4PUGXE3XBGR3JG5SDIPD2HJ54R

not attested not anchored not stored refs pending

Characteristic classes of singular toric varieties

Joerg Schuermann, Laurentiu Maxim

arxiv:1303.4454 v2 · 2013-03-18 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4PUGXE3XBGR3JG5SDIPD2HJ54R}

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	2026-05-18T01:14:18.529886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3e86b937709a3b49bb21a1e3d1d3de46694036908718b9f160836891f7e5073

Aliases

arxiv: 1303.4454 · arxiv_version: 1303.4454v2 · doi: 10.48550/arxiv.1303.4454 · pith_short_12: 4PUGXE3XBGR3 · pith_short_16: 4PUGXE3XBGR3JG5S · pith_short_8: 4PUGXE3X

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/4PUGXE3XBGR3JG5SDIPD2HJ54R \
  | 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: e3e86b937709a3b49bb21a1e3d1d3de46694036908718b9f160836891f7e5073

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c57465861bdf74b4fdf3e02e949d9af8059becd320ed461a6c181b637963e1d7",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-18T23:22:34Z",
    "title_canon_sha256": "4c9ce372694f649ce91d9cee5d1e27e42f307ae0e781da92959158a3a0b03770"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4454",
    "kind": "arxiv",
    "version": 2
  }
}