Pith Number

pith:XELWAUJ3

pith:2011:XELWAUJ3AS3WLD2Q7SQD264IJG

not attested not anchored not stored refs pending

Singularities of Cox Rings of Fano Varieties

Morgan V. Brown

arxiv:1109.6368 v2 · 2011-09-28 · 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{XELWAUJ3AS3WLD2Q7SQD264IJG}

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	2026-05-18T04:02:03.842389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b91760513b04b7658f50fca03d7b8849aa871334c49fd4713e44883751dc6199

Aliases

arxiv: 1109.6368 · arxiv_version: 1109.6368v2 · doi: 10.48550/arxiv.1109.6368 · pith_short_12: XELWAUJ3AS3W · pith_short_16: XELWAUJ3AS3WLD2Q · pith_short_8: XELWAUJ3

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/XELWAUJ3AS3WLD2Q7SQD264IJG \
  | 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: b91760513b04b7658f50fca03d7b8849aa871334c49fd4713e44883751dc6199

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fe72602e44ec6af9e98f948eeb19aacf4eedc8c7ac0bf0d9359ef2bc3c28467",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-28T23:27:43Z",
    "title_canon_sha256": "8d12a8c331b4701a5850c941963074506e3a49bf607cecc2d0aac5e7f382d038"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6368",
    "kind": "arxiv",
    "version": 2
  }
}