Pith Number

pith:OZDPMDKX

pith:2017:OZDPMDKXCMXZH5THYQMDJH6NR7

not attested not anchored not stored refs pending

Hyperbolic rank rigidity for manifolds of $\frac14$-pinched negative curvature

Chris Connell, Ralf Spatzier, Thang Nguyen

arxiv:1705.02437 v1 · 2017-05-06 · 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{OZDPMDKXCMXZH5THYQMDJH6NR7}

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	2026-05-17T23:57:15.789650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7646f60d57132f93f667c418349fcd8ff5ac91766aa89980f3044a83c38cb4f6

Aliases

arxiv: 1705.02437 · arxiv_version: 1705.02437v1 · doi: 10.48550/arxiv.1705.02437 · pith_short_12: OZDPMDKXCMXZ · pith_short_16: OZDPMDKXCMXZH5TH · pith_short_8: OZDPMDKX

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/OZDPMDKXCMXZH5THYQMDJH6NR7 \
  | 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: 7646f60d57132f93f667c418349fcd8ff5ac91766aa89980f3044a83c38cb4f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4170d8d300859d603d5f3f73fc27711be8c66d6cbe8c7c9d0f087096c2133e73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-05-06T03:19:40Z",
    "title_canon_sha256": "12db3d9a786345930d923179700f737dcab334d998eea8a8c5246eaedaff7f61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02437",
    "kind": "arxiv",
    "version": 1
  }
}