Pith Number

pith:YIOWGR22

pith:2015:YIOWGR22UPLCVG4RUCLOBT25JY

not attested not anchored not stored refs pending

On the exponents of free and nearly free projective plane curves

Alexandru Dimca, Gabriel Sticlaru

arxiv:1511.08938 v2 · 2015-11-28 · math.AG · 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{YIOWGR22UPLCVG4RUCLOBT25JY}

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	2026-05-18T00:36:33.515014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c21d63475aa3d62a9b91a096e0cf5d4e2fb21f3d3a0a558f976226e1f82fc691

Aliases

arxiv: 1511.08938 · arxiv_version: 1511.08938v2 · doi: 10.48550/arxiv.1511.08938 · pith_short_12: YIOWGR22UPLC · pith_short_16: YIOWGR22UPLCVG4R · pith_short_8: YIOWGR22

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/YIOWGR22UPLCVG4RUCLOBT25JY \
  | 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: c21d63475aa3d62a9b91a096e0cf5d4e2fb21f3d3a0a558f976226e1f82fc691

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b8fdadca3d991d84769f1e629045469ff8ea3289be3d2faef2886976cbaf00a",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-28T22:13:14Z",
    "title_canon_sha256": "9a497fb5ce34e0c4e2b9dd69ac48711d4c8dce86993e762bc25e73399067f3e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08938",
    "kind": "arxiv",
    "version": 2
  }
}