Pith Number

pith:ZAX6WYQR

pith:2026:ZAX6WYQRJYNHZMFHDXQCHNONKI

not attested not anchored not stored refs pending

On the cohomological classification of vector bundles on smooth real affine surfaces and threefolds

Samuel Lerbet

arxiv:2605.22706 v1 · 2026-05-21 · math.AG · math.AC · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZAX6WYQRJYNHZMFHDXQCHNONKI}

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	2026-05-22T02:04:51.335766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c82feb62114e1a7cb0a71de023b5cd522cf38857d290cec0fa4f0acc2902bdda

Aliases

arxiv: 2605.22706 · arxiv_version: 2605.22706v1 · doi: 10.48550/arxiv.2605.22706 · pith_short_12: ZAX6WYQRJYNH · pith_short_16: ZAX6WYQRJYNHZMFH · pith_short_8: ZAX6WYQR

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/ZAX6WYQRJYNHZMFHDXQCHNONKI \
  | 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: c82feb62114e1a7cb0a71de023b5cd522cf38857d290cec0fa4f0acc2902bdda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa4fcf898d4d5ee1cbb3c51197dff863c2f7c17042ea0c6d2b84e99b1cc30e72",
    "cross_cats_sorted": [
      "math.AC",
      "math.AT",
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-21T16:46:33Z",
    "title_canon_sha256": "adb89501251799e4ab7a5f75b2256a66959c3b397a24bee4bcb69e2a41faf97e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22706",
    "kind": "arxiv",
    "version": 1
  }
}