Pith Number

pith:DMW4LRYN

pith:2011:DMW4LRYNAOISWBFVKV6LHKMYL6

not attested not anchored not stored refs pending

On submanifolds whose tubular hypersurfaces have constant mean curvatures

Jianquan Ge

arxiv:1109.6835 v1 · 2011-09-30 · 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{DMW4LRYNAOISWBFVKV6LHKMYL6}

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	2026-05-18T04:11:52.453901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b2dc5c70d03912b04b5557cb3a9985fba7ef6bf2c9328bae7714e1a1a4012ba

Aliases

arxiv: 1109.6835 · arxiv_version: 1109.6835v1 · doi: 10.48550/arxiv.1109.6835 · pith_short_12: DMW4LRYNAOIS · pith_short_16: DMW4LRYNAOISWBFV · pith_short_8: DMW4LRYN

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/DMW4LRYNAOISWBFVKV6LHKMYL6 \
  | 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: 1b2dc5c70d03912b04b5557cb3a9985fba7ef6bf2c9328bae7714e1a1a4012ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66f1bdd1ca52fc4c5b440c411ca49720d8941da5463792e1520b0c1f4a708b49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-30T14:36:07Z",
    "title_canon_sha256": "8d4fb95e392b15e9ce4b243a9c84b61cd7638a28845d456ad20227e6e2930cf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6835",
    "kind": "arxiv",
    "version": 1
  }
}