Pith Number

pith:MCTKZWRH

pith:2013:MCTKZWRH5MIV6MZ3KKSQZDV7IC

not attested not anchored not stored refs pending

Local positivity of line bundles on smooth toric varieties and Cayley polytopes

Anders Lundman

arxiv:1307.3208 v1 · 2013-07-11 · 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{MCTKZWRH5MIV6MZ3KKSQZDV7IC}

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	2026-05-18T03:18:40.870228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60a6acda27eb115f333b52a50c8ebf40a54a364c1c7b332016cb46837e550a75

Aliases

arxiv: 1307.3208 · arxiv_version: 1307.3208v1 · doi: 10.48550/arxiv.1307.3208 · pith_short_12: MCTKZWRH5MIV · pith_short_16: MCTKZWRH5MIV6MZ3 · pith_short_8: MCTKZWRH

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/MCTKZWRH5MIV6MZ3KKSQZDV7IC \
  | 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: 60a6acda27eb115f333b52a50c8ebf40a54a364c1c7b332016cb46837e550a75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f3dc7b7b8fa878bb8672984ece307b23db72ea7de17cb55e2d2837ec758ca62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-11T18:30:47Z",
    "title_canon_sha256": "e02b4cc5fb8f57bb2be71a849b2c764719913b4e4c09e145b193555f417f526c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3208",
    "kind": "arxiv",
    "version": 1
  }
}