Pith Number

pith:LPM3Q2GR

pith:2011:LPM3Q2GREE7KQSZALWEGTAUREF

not attested not anchored not stored refs pending

Weighted Projective Spaces from the toric point of view with computational applications

Lea Terracini, Michele Rossi

arxiv:1112.1677 v3 · 2011-12-07 · 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{LPM3Q2GREE7KQSZALWEGTAUREF}

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	2026-05-18T01:02:21.515900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bd9b868d1213ea84b205d88698291217a6b4d1f29eb3a7e5be21b577fdf64a6

Aliases

arxiv: 1112.1677 · arxiv_version: 1112.1677v3 · doi: 10.48550/arxiv.1112.1677 · pith_short_12: LPM3Q2GREE7K · pith_short_16: LPM3Q2GREE7KQSZA · pith_short_8: LPM3Q2GR

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/LPM3Q2GREE7KQSZALWEGTAUREF \
  | 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: 5bd9b868d1213ea84b205d88698291217a6b4d1f29eb3a7e5be21b577fdf64a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1968678c78b8d047be3e9c9ade8519c7b0097fb0890bf38ba1eb4795f9abc41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-07T20:10:17Z",
    "title_canon_sha256": "12fc6a3446f820ebc027d5180890da135b7cdd2507da65fc574fe45be7ba150b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1677",
    "kind": "arxiv",
    "version": 3
  }
}