Pith Number

pith:XKG4D7EN

pith:2013:XKG4D7ENQGPF7CST6F5DDOVZBF

not attested not anchored not stored refs pending

Entire bounded constant mean curvature Killing graphs

J. H. de Lira, M. Dajczer

arxiv:1305.3491 v1 · 2013-05-15 · 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{XKG4D7ENQGPF7CST6F5DDOVZBF}

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	2026-05-18T03:25:35.682496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba8dc1fc8d819e5f8a53f17a31bab9096308cb647ae1163bd6fbe6af81edb208

Aliases

arxiv: 1305.3491 · arxiv_version: 1305.3491v1 · doi: 10.48550/arxiv.1305.3491 · pith_short_12: XKG4D7ENQGPF · pith_short_16: XKG4D7ENQGPF7CST · pith_short_8: XKG4D7EN

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/XKG4D7ENQGPF7CST6F5DDOVZBF \
  | 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: ba8dc1fc8d819e5f8a53f17a31bab9096308cb647ae1163bd6fbe6af81edb208

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00687c801c963f85e88c5f843413105d9935fb258c769b81841121f547fac997",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-05-15T14:20:01Z",
    "title_canon_sha256": "c418a2ecf3570471c076464faa044770a151b5c42f258af80fa647e6c8b4b714"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3491",
    "kind": "arxiv",
    "version": 1
  }
}