Pith Number

pith:2OI72Q3U

pith:2017:2OI72Q3UF5YQMFGAJSQJ6VSKG2

not attested not anchored not stored refs pending

Lelong numbers and vector bundles

Bo Berndtsson

arxiv:1708.06972 v1 · 2017-08-23 · math.CV · 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{2OI72Q3UF5YQMFGAJSQJ6VSKG2}

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	2026-05-18T00:36:48.723881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d391fd43742f710614c04ca09f564a36896464e181f3f7917bd85693594b69f0

Aliases

arxiv: 1708.06972 · arxiv_version: 1708.06972v1 · doi: 10.48550/arxiv.1708.06972 · pith_short_12: 2OI72Q3UF5YQ · pith_short_16: 2OI72Q3UF5YQMFGA · pith_short_8: 2OI72Q3U

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/2OI72Q3UF5YQMFGAJSQJ6VSKG2 \
  | 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: d391fd43742f710614c04ca09f564a36896464e181f3f7917bd85693594b69f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68d2b88ba3e1d9c24ead31ac3197e52fe25490eff80805f208661db1b6104a53",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-08-23T12:08:51Z",
    "title_canon_sha256": "17e926b9dab4076b208a070b55d1de5d25da2e8eb52fe928956a8143b231bc74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06972",
    "kind": "arxiv",
    "version": 1
  }
}