Pith Number

pith:DEJ4RAAI

pith:2010:DEJ4RAAIU4BDLFHTP6JDNU3GNA

not attested not anchored not stored refs pending

Isometric Immersions of the Hyperbolic Plane into the Hyperbolic Space

Atsufumi Honda

arxiv:1009.3994 v1 · 2010-09-21 · 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{DEJ4RAAIU4BDLFHTP6JDNU3GNA}

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	2026-05-18T04:40:34.752996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1913c88008a7023594f37f9236d36668299f0f16d9c5dd484da31a1d83825bd4

Aliases

arxiv: 1009.3994 · arxiv_version: 1009.3994v1 · doi: 10.48550/arxiv.1009.3994 · pith_short_12: DEJ4RAAIU4BD · pith_short_16: DEJ4RAAIU4BDLFHT · pith_short_8: DEJ4RAAI

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/DEJ4RAAIU4BDLFHTP6JDNU3GNA \
  | 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: 1913c88008a7023594f37f9236d36668299f0f16d9c5dd484da31a1d83825bd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66490100c44b70b30c06101d47a848768ef6aa390a6da3c54aafc60547657956",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-09-21T04:05:09Z",
    "title_canon_sha256": "74a624560bd85cd0f490d49adb48978fdf036de446772d2fcc6277afee1d355f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3994",
    "kind": "arxiv",
    "version": 1
  }
}