Pith Number

pith:DIPBDSH6

pith:2026:DIPBDSH653O6LLX464HC52ML3E

not attested not anchored not stored refs pending

On defective spans of singular vector tuples beyond the boundary format

Emanuele Ventura, Ettore Teixeira Turatti

arxiv:2605.22118 v1 · 2026-05-21 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DIPBDSH653O6LLX464HC52ML3E}

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	2026-05-22T01:04:26.747556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a1e11c8feeedde5aefcf70e2ee98bd921eaab4cbab7dd219ead3a0ee3dbf1ce

Aliases

arxiv: 2605.22118 · arxiv_version: 2605.22118v1 · doi: 10.48550/arxiv.2605.22118 · pith_short_12: DIPBDSH653O6 · pith_short_16: DIPBDSH653O6LLX4 · pith_short_8: DIPBDSH6

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/DIPBDSH653O6LLX464HC52ML3E \
  | 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: 1a1e11c8feeedde5aefcf70e2ee98bd921eaab4cbab7dd219ead3a0ee3dbf1ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c09e6c0218cfa7ebbe47a861b1060ccba7a3e43a4e31570a5f530c91b320f9e2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-21T07:49:45Z",
    "title_canon_sha256": "0029564f6d90ac63b811af0cf00d7fba70d5063d671c9880ff9fd3799441ec0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22118",
    "kind": "arxiv",
    "version": 1
  }
}