Pith Number

pith:4JAA6NAO

pith:2010:4JAA6NAOXGQA3QO4KGHCIR4FRT

not attested not anchored not stored refs pending

Real hypersurfaces in complex and quaternionic hyperbolic spaces

Thomas Murphy

arxiv:1011.6582 v4 · 2010-11-30 · 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{4JAA6NAOXGQA3QO4KGHCIR4FRT}

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	2026-05-18T03:51:36.071620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2400f340eb9a00dc1dc518e2447858cfedba81551fe1fe1b75d83d31ffea044

Aliases

arxiv: 1011.6582 · arxiv_version: 1011.6582v4 · doi: 10.48550/arxiv.1011.6582 · pith_short_12: 4JAA6NAOXGQA · pith_short_16: 4JAA6NAOXGQA3QO4 · pith_short_8: 4JAA6NAO

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/4JAA6NAOXGQA3QO4KGHCIR4FRT \
  | 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: e2400f340eb9a00dc1dc518e2447858cfedba81551fe1fe1b75d83d31ffea044

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8434377cb9e0081fe274dde5ca0d4f373e63cf388eb79de14079f73830a7b62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-30T15:36:35Z",
    "title_canon_sha256": "0c55a6baf3eee8f24ff31efcdde4a8e9f78f0f0d87f23d708a8e97b42e470e39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6582",
    "kind": "arxiv",
    "version": 4
  }
}