Pith Number

pith:VCJSLVUP

pith:2010:VCJSLVUPNQYAHTUIDSZY3DFO4Y

not attested not anchored not stored refs pending

Convexity on Complex Hyperbolic Space

E. Gallego, J. Abardia

arxiv:1003.4667 v1 · 2010-03-24 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCJSLVUPNQYAHTUIDSZY3DFO4Y}

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	2026-05-18T03:30:26.203976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a89325d68f6c3003ce881cb38d8caee62f7b78fe55e7c87045e96ed1c47a525f

Aliases

arxiv: 1003.4667 · arxiv_version: 1003.4667v1 · doi: 10.48550/arxiv.1003.4667 · pith_short_12: VCJSLVUPNQYA · pith_short_16: VCJSLVUPNQYAHTUI · pith_short_8: VCJSLVUP

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/VCJSLVUPNQYAHTUIDSZY3DFO4Y \
  | 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: a89325d68f6c3003ce881cb38d8caee62f7b78fe55e7c87045e96ed1c47a525f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3112a5e47d66022cfb49f5d884a46cf50689359228d5d74ef9b09f37c885792",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-03-24T15:23:51Z",
    "title_canon_sha256": "5dc5285fc1da9bf7f71ad16bb350fa207003f631650d03e337b8832f10407b81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4667",
    "kind": "arxiv",
    "version": 1
  }
}