Pith Number

pith:O4TMBJYP

pith:2014:O4TMBJYPY5Y3SNECPGTZMWADLC

not attested not anchored not stored refs pending

Positively curved manifolds with large spherical rank

Benjamin Schmidt, Krishnan Shankar, Ralf Spatzier

arxiv:1409.7606 v1 · 2014-09-26 · 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{O4TMBJYPY5Y3SNECPGTZMWADLC}

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	2026-05-18T02:41:52.304307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7726c0a70fc771b9348279a7965803589dcfaa28cb7c7b291638a59164f2308f

Aliases

arxiv: 1409.7606 · arxiv_version: 1409.7606v1 · doi: 10.48550/arxiv.1409.7606 · pith_short_12: O4TMBJYPY5Y3 · pith_short_16: O4TMBJYPY5Y3SNEC · pith_short_8: O4TMBJYP

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/O4TMBJYPY5Y3SNECPGTZMWADLC \
  | 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: 7726c0a70fc771b9348279a7965803589dcfaa28cb7c7b291638a59164f2308f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "238a1aab56d126a814c0725ad12bcd0a7e5321ce0d552c2c739fa42a14722677",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-09-26T15:42:18Z",
    "title_canon_sha256": "8b9b9504ce2a3f0fcb876ac7f856337199c98f8e3f52b86353874efe8a735e39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7606",
    "kind": "arxiv",
    "version": 1
  }
}