Pith Number

pith:KT4GBLCM

pith:2014:KT4GBLCMXRNZHCJY2PZQ2QWMYN

not attested not anchored not stored refs pending

Vector bundles on proper toric 3-folds and certain other schemes

Markus Perling, Stefan Schroeer

arxiv:1407.5443 v2 · 2014-07-21 · 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{KT4GBLCMXRNZHCJY2PZQ2QWMYN}

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	2026-05-18T01:34:55.403524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54f860ac4cbc5b938938d3f30d42ccc3437b2027b265a3bc9059b5ff36659529

Aliases

arxiv: 1407.5443 · arxiv_version: 1407.5443v2 · doi: 10.48550/arxiv.1407.5443 · pith_short_12: KT4GBLCMXRNZ · pith_short_16: KT4GBLCMXRNZHCJY · pith_short_8: KT4GBLCM

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/KT4GBLCMXRNZHCJY2PZQ2QWMYN \
  | 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: 54f860ac4cbc5b938938d3f30d42ccc3437b2027b265a3bc9059b5ff36659529

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f57d7b5732bd2e1e5e289e5d36286a4c5e12d11b827e65fb07041b5d501bba29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-07-21T10:15:17Z",
    "title_canon_sha256": "9f0fa02d3f41ac9ec5cd2ef44a4efc48648e412275e19792e84114a97208aaba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5443",
    "kind": "arxiv",
    "version": 2
  }
}