Pith Number

pith:LH44YEPN

pith:2008:LH44YEPNBIROUYQPT4HA7HUOH4

not attested not anchored not stored refs pending

A positively curved manifold homeomorphic to T$_1$S$^4$

Karsten Grove, Luigi Verdiani, Wolfgang Ziller

arxiv:0809.2304 v4 · 2008-09-13 · 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{LH44YEPNBIROUYQPT4HA7HUOH4}

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	2026-05-18T04:26:32.108523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59f9cc11ed0a22ea620f9f0e0f9e8e3f1da79c739c60d61403b68571ae0916d1

Aliases

arxiv: 0809.2304 · arxiv_version: 0809.2304v4 · doi: 10.48550/arxiv.0809.2304 · pith_short_12: LH44YEPNBIRO · pith_short_16: LH44YEPNBIROUYQP · pith_short_8: LH44YEPN

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/LH44YEPNBIROUYQPT4HA7HUOH4 \
  | 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: 59f9cc11ed0a22ea620f9f0e0f9e8e3f1da79c739c60d61403b68571ae0916d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6845589267383747b630b0fb389a0e3c4aa9b6492a4ebc627fbd63cbec345464",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-09-13T00:10:44Z",
    "title_canon_sha256": "25b2633683ce3a9dbc81dcdf2f28416d8fada931ec4de1389390fc5c8a748445"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.2304",
    "kind": "arxiv",
    "version": 4
  }
}