Pith Number

pith:V4PGVMHE

pith:2013:V4PGVMHEOP6AVQ4LZZSII3XGKR

not attested not anchored not stored refs pending

The Hodge conjecture and arithmetic quotients of complex balls

Colette Moeglin, John Millson, Nicolas Bergeron

arxiv:1306.1515 v2 · 2013-06-06 · 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{V4PGVMHEOP6AVQ4LZZSII3XGKR}

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	2026-05-18T02:50:34.101592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af1e6ab0e473fc0ac38bce64846ee6544ab13a06fe6dfc25c118160b2edb6ece

Aliases

arxiv: 1306.1515 · arxiv_version: 1306.1515v2 · doi: 10.48550/arxiv.1306.1515 · pith_short_12: V4PGVMHEOP6A · pith_short_16: V4PGVMHEOP6AVQ4L · pith_short_8: V4PGVMHE

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/V4PGVMHEOP6AVQ4LZZSII3XGKR \
  | 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: af1e6ab0e473fc0ac38bce64846ee6544ab13a06fe6dfc25c118160b2edb6ece

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd8c31b7eaabff6c998bf482175bb573637ab94094b5e41ddf9908dacd21721c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-06-06T19:17:58Z",
    "title_canon_sha256": "8144711662f2e3eee755cc0765e9c9b6a50208a024956620f08a8bb33191476f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1515",
    "kind": "arxiv",
    "version": 2
  }
}