Pith Number

pith:7P6LGCRL

pith:2018:7P6LGCRLSAO7WF6ZP3KM32AYXA

not attested not anchored not stored refs pending

Immaculate line bundles on toric varieties

Anna-Lena Winz, Jaros{\l}aw Buczy\'nski, Klaus Altmann, Lars Kastner

arxiv:1808.09312 v1 · 2018-08-28 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7P6LGCRLSAO7WF6ZP3KM32AYXA}

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	2026-05-18T00:07:01.719763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbfcb30a2b901dfb17d97ed4cde818b82f182fdf62918914dffa67d6c13b0e6c

Aliases

arxiv: 1808.09312 · arxiv_version: 1808.09312v1 · doi: 10.48550/arxiv.1808.09312 · pith_short_12: 7P6LGCRLSAO7 · pith_short_16: 7P6LGCRLSAO7WF6Z · pith_short_8: 7P6LGCRL

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/7P6LGCRLSAO7WF6ZP3KM32AYXA \
  | 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: fbfcb30a2b901dfb17d97ed4cde818b82f182fdf62918914dffa67d6c13b0e6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6b2f2c67656c63251a62726cab58118e3a21ff88cf061cbe674059aa53aacdb",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-08-28T14:08:39Z",
    "title_canon_sha256": "07ce9677eb043ca3317ce6176717522c6fbec478e82b2b5e42f5592e16e38cc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09312",
    "kind": "arxiv",
    "version": 1
  }
}