Pith Number

pith:BD7WLQWM

pith:2026:BD7WLQWMPVV4L75JYET4AZY37C

not attested not anchored not stored refs pending

Invariants of real affine varieties based on their complexifications

Juliusz Banecki

arxiv:2605.22941 v1 · 2026-05-21 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BD7WLQWMPVV4L75JYET4AZY37C}

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	2026-05-25T02:01:31.470494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08ff65c2cc7d6bc5ffa9c127c0671bf8a5408e263d3840a64dbb68ab09560859

Aliases

arxiv: 2605.22941 · arxiv_version: 2605.22941v1 · doi: 10.48550/arxiv.2605.22941 · pith_short_12: BD7WLQWMPVV4 · pith_short_16: BD7WLQWMPVV4L75J · pith_short_8: BD7WLQWM

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/BD7WLQWMPVV4L75JYET4AZY37C \
  | 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: 08ff65c2cc7d6bc5ffa9c127c0671bf8a5408e263d3840a64dbb68ab09560859

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54ddbaa255f1a3cc583ec21e0d37a7e7d3184a8ba3faa58611303e7b8d829050",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-21T18:16:41Z",
    "title_canon_sha256": "60e5f4bd6126251440e15220a7e20aa5733e515a1bcaea49acf5ff4b04040b37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22941",
    "kind": "arxiv",
    "version": 1
  }
}