Pith Number

pith:Z4YE5LN7

pith:2009:Z4YE5LN7SXQ2ZDS3G3R2CV56KV

not attested not anchored not stored refs pending

Nonnegatively curved fixed point homogeneous manifolds in low dimensions

Fernando Galaz-Garcia

arxiv:0911.1254 v3 · 2009-11-06 · 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{Z4YE5LN7SXQ2ZDS3G3R2CV56KV}

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	2026-05-18T04:20:14.782745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf304eadbf95e1ac8e5b36e3a157be554a0224495761cf75ce4d3cf6ecfc7679

Aliases

arxiv: 0911.1254 · arxiv_version: 0911.1254v3 · doi: 10.48550/arxiv.0911.1254 · pith_short_12: Z4YE5LN7SXQ2 · pith_short_16: Z4YE5LN7SXQ2ZDS3 · pith_short_8: Z4YE5LN7

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/Z4YE5LN7SXQ2ZDS3G3R2CV56KV \
  | 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: cf304eadbf95e1ac8e5b36e3a157be554a0224495761cf75ce4d3cf6ecfc7679

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "476c74c9399ba444c5d5018a06a19e8f41f9c1a427993cf0197fb20057744074",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-11-06T13:58:18Z",
    "title_canon_sha256": "39bb2bff30bd91e68ece3791ff1f25f607fe0041816982d14ec9b6ebe058a1b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1254",
    "kind": "arxiv",
    "version": 3
  }
}