Pith Number

pith:PROBOMUK

pith:2016:PROBOMUKO24NTJTBV7VTEXKS7R

not attested not anchored not stored refs pending

Approximation forte pour les vari\'et\'es avec une action d'un groupe lin\'eaire

Yang Cao

arxiv:1604.03386 v4 · 2016-04-12 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PROBOMUKO24NTJTBV7VTEXKS7R}

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	2026-05-17T23:53:34.209949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c5c17328a76b8d9a661afeb325d52fc5f261126db0da5b84f3694323ba45833

Aliases

arxiv: 1604.03386 · arxiv_version: 1604.03386v4 · doi: 10.48550/arxiv.1604.03386 · pith_short_12: PROBOMUKO24N · pith_short_16: PROBOMUKO24NTJTB · pith_short_8: PROBOMUK

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/PROBOMUKO24NTJTBV7VTEXKS7R \
  | 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: 7c5c17328a76b8d9a661afeb325d52fc5f261126db0da5b84f3694323ba45833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "036f1377cef79d2ced4e30c3b84a63b0e1a36021bd6089df857f29201ea142da",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-04-12T12:58:45Z",
    "title_canon_sha256": "e9b7499b7dda28d7ea84c2f7e47a7e4437919b17b1e081a2b59ded008d5ddd14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03386",
    "kind": "arxiv",
    "version": 4
  }
}