Pith Number

pith:ZGCKE5MK

pith:2011:ZGCKE5MKJCA5SIDIWBYJQZBMPQ

not attested not anchored not stored refs pending

Depth of characters of curve complements and orbifold pencils

A. Libgober, E. Artal Bartolo, J.I. Cogolludo-Agustin

arxiv:1108.0164 v1 · 2011-07-31 · 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{ZGCKE5MKJCA5SIDIWBYJQZBMPQ}

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	2026-05-18T04:16:31.577421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c984a2758a4881d92068b07098642c7c3d9c156d40a75de5e78db1e839d9235f

Aliases

arxiv: 1108.0164 · arxiv_version: 1108.0164v1 · doi: 10.48550/arxiv.1108.0164 · pith_short_12: ZGCKE5MKJCA5 · pith_short_16: ZGCKE5MKJCA5SIDI · pith_short_8: ZGCKE5MK

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/ZGCKE5MKJCA5SIDIWBYJQZBMPQ \
  | 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: c984a2758a4881d92068b07098642c7c3d9c156d40a75de5e78db1e839d9235f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7db0817f6328a0df47f48160f21667a947e51535fa7d49cbe66238f6f3cac69e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-31T11:06:21Z",
    "title_canon_sha256": "cbbfad4f9bf81d9519a77ddb81bf56c58aac382c5985689dfb17c2167b1c749a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0164",
    "kind": "arxiv",
    "version": 1
  }
}