Pith Number

pith:NMQJ5HTM

pith:2013:NMQJ5HTMIDLX3YEHMPFAVFZ6O2

not attested not anchored not stored refs pending

Willmore surfaces in spheres via loop groups $I$: generic cases and some examples

Josef F. Dorfmeister, Peng Wang

arxiv:1301.2756 v4 · 2013-01-13 · 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{NMQJ5HTMIDLX3YEHMPFAVFZ6O2}

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	2026-05-18T01:17:26.272482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b209e9e6c40d77de08763ca0a973e7695c1e9dba894df47ce860d4884afee1a

Aliases

arxiv: 1301.2756 · arxiv_version: 1301.2756v4 · doi: 10.48550/arxiv.1301.2756 · pith_short_12: NMQJ5HTMIDLX · pith_short_16: NMQJ5HTMIDLX3YEH · pith_short_8: NMQJ5HTM

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/NMQJ5HTMIDLX3YEHMPFAVFZ6O2 \
  | 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: 6b209e9e6c40d77de08763ca0a973e7695c1e9dba894df47ce860d4884afee1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64dc496cf6665f62ec61c9063b67251d450cc461013dfb1c166c57008cbc01c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-01-13T09:01:38Z",
    "title_canon_sha256": "6fcd40c038bcfa7f6757196a0a0ad7299d9819d82264185cb036b9fc5889ebe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2756",
    "kind": "arxiv",
    "version": 4
  }
}