Pith Number

pith:GFWZKAZS

pith:2010:GFWZKAZS7NMXDK3BIRDHBTPRZB

not attested not anchored not stored refs pending

Cox rings and pseudoeffective cones of projectivized toric vector bundles

Hendrik S\"u{\ss}, Jose Gonzalez, Milena Hering, Sam Payne

arxiv:1009.5238 v2 · 2010-09-27 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GFWZKAZS7NMXDK3BIRDHBTPRZB}

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	2026-05-18T03:48:34.412955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

316d950332fb5971ab61444670cdf1c86c88c831cf2008894c52bc6a4aa83a16

Aliases

arxiv: 1009.5238 · arxiv_version: 1009.5238v2 · doi: 10.48550/arxiv.1009.5238 · pith_short_12: GFWZKAZS7NMX · pith_short_16: GFWZKAZS7NMXDK3B · pith_short_8: GFWZKAZS

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/GFWZKAZS7NMXDK3BIRDHBTPRZB \
  | 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: 316d950332fb5971ab61444670cdf1c86c88c831cf2008894c52bc6a4aa83a16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2a82f48e6f58ffd0b6c1f9b1382aa62261eea0953e24f0911111e7277ae4a50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-27T12:17:58Z",
    "title_canon_sha256": "3a4066e663075ed469f061313b7e07f4620ce19e4127a142cce3816b0ca187b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5238",
    "kind": "arxiv",
    "version": 2
  }
}