Pith Number

pith:V4SGAGRU

pith:2010:V4SGAGRUKNRRWRHNPNVQD4DCY7

not attested not anchored not stored refs pending

A Milnor-Wood inequality for complex hyperbolic lattices in quaternionic space

Domingo Toledo, Oscar Garcia-Prada

arxiv:1010.3014 v1 · 2010-10-14 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V4SGAGRUKNRRWRHNPNVQD4DCY7}

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	2026-05-18T01:22:29.230378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af24601a3453631b44ed7b6b01f062c7e1ffd465c52f2fc5f2041a33ceba8aa7

Aliases

arxiv: 1010.3014 · arxiv_version: 1010.3014v1 · doi: 10.48550/arxiv.1010.3014 · pith_short_12: V4SGAGRUKNRR · pith_short_16: V4SGAGRUKNRRWRHN · pith_short_8: V4SGAGRU

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/V4SGAGRUKNRRWRHNPNVQD4DCY7 \
  | 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: af24601a3453631b44ed7b6b01f062c7e1ffd465c52f2fc5f2041a33ceba8aa7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7c78dc63e7dfa4f1716cacedef3997a3bf4333d355523a7fe75ff8adf68bdb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-10-14T19:59:00Z",
    "title_canon_sha256": "43e41f8e149c70390359b301bca0ded9bb5beff0dacb8abe5bb0bed2f8137034"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3014",
    "kind": "arxiv",
    "version": 1
  }
}