Pith Number

pith:5MVKZPOC

pith:2014:5MVKZPOCTTITPKW7OVXK6F5SQL

not attested not anchored not stored refs pending

Gap vectors of real projective varieties

Grigoriy Blekherman, Martina Juhnke-Kubitzke, Mauricio Velasco, Sadik Iliman

arxiv:1407.0585 v1 · 2014-07-02 · math.AG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5MVKZPOCTTITPKW7OVXK6F5SQL}

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	2026-05-18T02:48:26.569122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb2aacbdc29cd137aadf756eaf17b282e732e30e7dc94f9bc8dfd8e1d002c298

Aliases

arxiv: 1407.0585 · arxiv_version: 1407.0585v1 · doi: 10.48550/arxiv.1407.0585 · pith_short_12: 5MVKZPOCTTIT · pith_short_16: 5MVKZPOCTTITPKW7 · pith_short_8: 5MVKZPOC

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/5MVKZPOCTTITPKW7OVXK6F5SQL \
  | 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: eb2aacbdc29cd137aadf756eaf17b282e732e30e7dc94f9bc8dfd8e1d002c298

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6690e5fd885e03192f86102b9c6d454a9b738da0ebeafda2a18872af2c5cdf7",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-07-02T14:31:12Z",
    "title_canon_sha256": "d7759819d5742549e9292889c5df8756abe185449760efacc9bd40b36bd26e6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0585",
    "kind": "arxiv",
    "version": 1
  }
}