Pith Number

pith:HELFU7CF

pith:2011:HELFU7CFOTL4ZTWSRMRP73JGVI

not attested not anchored not stored refs pending

Constant mean curvature surfaces in hyperbolic 3-space via loop groups

Josef F. Dorfmeister, Jun-ichi Inoguchi, Shimpei Kobayashi

arxiv:1108.1641 v4 · 2011-08-08 · 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{HELFU7CFOTL4ZTWSRMRP73JGVI}

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	2026-05-18T02:01:00.489596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39165a7c4574d7ccced28b22ffed26aa04d6aa26ddaa9f17edd306f627c0b87f

Aliases

arxiv: 1108.1641 · arxiv_version: 1108.1641v4 · doi: 10.48550/arxiv.1108.1641 · pith_short_12: HELFU7CFOTL4 · pith_short_16: HELFU7CFOTL4ZTWS · pith_short_8: HELFU7CF

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/HELFU7CFOTL4ZTWSRMRP73JGVI \
  | 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: 39165a7c4574d7ccced28b22ffed26aa04d6aa26ddaa9f17edd306f627c0b87f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc8041625770aeeed995e6f8fa0f273f785e16cc0c0febece7f711d5cd7c8686",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-08-08T09:10:42Z",
    "title_canon_sha256": "f6d40138dfd3e8f0b4a445df3a7be2a28dd8fcd46ca6ac332c7fe8ee3d7eea1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1641",
    "kind": "arxiv",
    "version": 4
  }
}