Pith Number

pith:2PPDO3RY

pith:2014:2PPDO3RY53MX4ATWFJQJCS7F3A

not attested not anchored not stored refs pending

Codimension one connectedness of the graph of associated varieties

Akihito Wachi, Kyo Nishiyama, Peter Trapa

arxiv:1403.7982 v2 · 2014-03-31 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PPDO3RY53MX4ATWFJQJCS7F3A}

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	2026-05-18T02:40:47.217855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3de376e38eed97e02762a60914be5d80fbd75220c7b6d79b383627231209e1d

Aliases

arxiv: 1403.7982 · arxiv_version: 1403.7982v2 · doi: 10.48550/arxiv.1403.7982 · pith_short_12: 2PPDO3RY53MX · pith_short_16: 2PPDO3RY53MX4ATW · pith_short_8: 2PPDO3RY

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/2PPDO3RY53MX4ATWFJQJCS7F3A \
  | 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: d3de376e38eed97e02762a60914be5d80fbd75220c7b6d79b383627231209e1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ffa8294646c5d7f7775597f711dc983a4c4228094156afe4c44ee50a0c8d890",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-03-31T13:08:29Z",
    "title_canon_sha256": "dfe81e6fd599c06fa06f7d82f263c115672970241adc4c4eaf4e47d282c56b4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7982",
    "kind": "arxiv",
    "version": 2
  }
}