Pith Number

pith:IJKZ5LOI

pith:2014:IJKZ5LOI72WYNFEL5P2B6RQ2SY

not attested not anchored not stored refs pending

A half-space theorem for graphs of constant mean curvature $0<H<\frac{1}{2}$ in $\mathbb{H}^2\times\mathbb{R}$

Gabriela A. Wanderley, Laurent Mazet

arxiv:1411.4779 v1 · 2014-11-18 · 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{IJKZ5LOI72WYNFEL5P2B6RQ2SY}

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	2026-05-18T02:34:51.230477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42559eadc8fead86948bebf41f461a963e51a19a82b687ba2c8d0564b7cfea10

Aliases

arxiv: 1411.4779 · arxiv_version: 1411.4779v1 · doi: 10.48550/arxiv.1411.4779 · pith_short_12: IJKZ5LOI72WY · pith_short_16: IJKZ5LOI72WYNFEL · pith_short_8: IJKZ5LOI

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/IJKZ5LOI72WYNFEL5P2B6RQ2SY \
  | 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: 42559eadc8fead86948bebf41f461a963e51a19a82b687ba2c8d0564b7cfea10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44bb6609b43f2d57427226d96070d17b691ed52d0a3d54540aa28e2e3ebbd90c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-11-18T09:40:14Z",
    "title_canon_sha256": "f777a168772ef1a67f79108dcf142163244ea7aee8fccdd1e93f52d8db93df3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4779",
    "kind": "arxiv",
    "version": 1
  }
}