Pith Number

pith:GRI5UZYY

pith:2011:GRI5UZYYDVFMBNDYCG6GOHUN4F

not attested not anchored not stored refs pending

Notes on absolute Hodge classes

Christian Schnell, Fran\c{c}ois Charles

arxiv:1101.3647 v1 · 2011-01-19 · 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{GRI5UZYYDVFMBNDYCG6GOHUN4F}

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	2026-05-18T04:31:21.826890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3451da67181d4ac0b47811bc671e8de169e4cd471ad96c56297c4da8542037fc

Aliases

arxiv: 1101.3647 · arxiv_version: 1101.3647v1 · doi: 10.48550/arxiv.1101.3647 · pith_short_12: GRI5UZYYDVFM · pith_short_16: GRI5UZYYDVFMBNDY · pith_short_8: GRI5UZYY

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/GRI5UZYYDVFMBNDYCG6GOHUN4F \
  | 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: 3451da67181d4ac0b47811bc671e8de169e4cd471ad96c56297c4da8542037fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "934f801b95f9c78347264bdaebe715d0f2219ebb1e2711c9275f21077e905633",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-19T09:08:10Z",
    "title_canon_sha256": "39b0ae7a8d1626e7b1ad708d0749f47d440f0f5624aba5369a734a9df632fb7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3647",
    "kind": "arxiv",
    "version": 1
  }
}