Pith Number

pith:NY2PX4J2

pith:2026:NY2PX4J2IBLCUDWBKEM26LGHMJ

not attested not anchored not stored refs pending

An algebraic proof of the Milnor-Orlik theorem

Yerly Soler

arxiv:2605.21703 v1 · 2026-05-20 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NY2PX4J2IBLCUDWBKEM26LGHMJ}

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	2026-05-22T01:03:28.680716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e34fbf13a40562a0ec15119af2cc76277f406a46d8987522fe0657a040132e0

Aliases

arxiv: 2605.21703 · arxiv_version: 2605.21703v1 · doi: 10.48550/arxiv.2605.21703 · pith_short_12: NY2PX4J2IBLC · pith_short_16: NY2PX4J2IBLCUDWB · pith_short_8: NY2PX4J2

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/NY2PX4J2IBLCUDWBKEM26LGHMJ \
  | 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: 6e34fbf13a40562a0ec15119af2cc76277f406a46d8987522fe0657a040132e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a32a868af4f7bdd71a59edd80e8bb40905d85706de5ab515661829d1317c50c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-05-20T20:05:38Z",
    "title_canon_sha256": "c79d0e6e5e309af7f87f66af56ea3e88d2e0aac2d08f825554ef0fa18216cdd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21703",
    "kind": "arxiv",
    "version": 1
  }
}