Pith Number

pith:D6LV2A7L

pith:2013:D6LV2A7LDZ36LEC2SYULJL5VZO

not attested not anchored not stored refs pending

Hurwitz complete sets of factorizations in the modular group and the classification of Lefschetz elliptc fibrations over the disk

C. Cadavid, J. D. V\'elez, L. Moreno

arxiv:1309.5871 v1 · 2013-09-23 · 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{D6LV2A7LDZ36LEC2SYULJL5VZO}

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	2026-05-18T03:12:33.849229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f975d03eb1e77e5905a9628b4afb5cbb979dcefafc6012c7687d4f37de85e2d

Aliases

arxiv: 1309.5871 · arxiv_version: 1309.5871v1 · doi: 10.48550/arxiv.1309.5871 · pith_short_12: D6LV2A7LDZ36 · pith_short_16: D6LV2A7LDZ36LEC2 · pith_short_8: D6LV2A7L

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/D6LV2A7LDZ36LEC2SYULJL5VZO \
  | 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: 1f975d03eb1e77e5905a9628b4afb5cbb979dcefafc6012c7687d4f37de85e2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "341186b63f44b44503cd437cf7754b09176ab0397107de9c8482e889b8bf2cb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-09-23T16:39:32Z",
    "title_canon_sha256": "e1342e4148451886890b0193b25037926714327bb3d1e6b1c7af691579841893"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5871",
    "kind": "arxiv",
    "version": 1
  }
}