Pith Number

pith:FBCERC6N

pith:2015:FBCERC6NBLCQCMVWCRX3CYQKA5

not attested not anchored not stored refs pending

On some conjectures about free and nearly free divisors

Alejandro Melle-Hern\'andez, Enrique Artal Bartolo, Ignacio Luengo, Leire Gorrochategui

arxiv:1511.09254 v1 · 2015-11-30 · 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{FBCERC6NBLCQCMVWCRX3CYQKA5}

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	2026-05-18T00:16:56.936559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2844488bcd0ac50132b6146fb1620a075687da3ba97ec708df665d40ccdda190

Aliases

arxiv: 1511.09254 · arxiv_version: 1511.09254v1 · doi: 10.48550/arxiv.1511.09254 · pith_short_12: FBCERC6NBLCQ · pith_short_16: FBCERC6NBLCQCMVW · pith_short_8: FBCERC6N

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/FBCERC6NBLCQCMVWCRX3CYQKA5 \
  | 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: 2844488bcd0ac50132b6146fb1620a075687da3ba97ec708df665d40ccdda190

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68ad83f6dff6603c0bce761773522e9cd4f4ddf5f914492a16a13a81399a2650",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-30T11:41:22Z",
    "title_canon_sha256": "78b5e988ce24fc9a5c85ce5aaac72b64abd85c9da99674b33168a9dff0b9c538"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09254",
    "kind": "arxiv",
    "version": 1
  }
}