Pith Number

pith:DSHW2NAV

pith:2012:DSHW2NAVBV75QDP3GJ53N5XFOJ

not attested not anchored not stored refs pending

On J. C. C. Nitsche's type inequality for hyperbolic space $\mathbf{H}^3$

David Kalaj

arxiv:1202.4410 v2 · 2012-02-20 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DSHW2NAVBV75QDP3GJ53N5XFOJ}

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	2026-05-18T04:01:50.601613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c8f6d34150d7fd80dfb327bb6f6e572760fe29a03d21d79e234f64a184ddf81

Aliases

arxiv: 1202.4410 · arxiv_version: 1202.4410v2 · doi: 10.48550/arxiv.1202.4410 · pith_short_12: DSHW2NAVBV75 · pith_short_16: DSHW2NAVBV75QDP3 · pith_short_8: DSHW2NAV

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/DSHW2NAVBV75QDP3GJ53N5XFOJ \
  | 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: 1c8f6d34150d7fd80dfb327bb6f6e572760fe29a03d21d79e234f64a184ddf81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "738b8c88eb067f3fafdf576401939625d04024eb1cea2eef37fdccd0cfb11f68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-20T18:18:07Z",
    "title_canon_sha256": "e3208d9d19e2a149393f5c955de4bb96ce5914a9b4bb737798ff4a00bf578c5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4410",
    "kind": "arxiv",
    "version": 2
  }
}