Pith Number

pith:WLFD67SN

pith:2014:WLFD67SN2OZUZGYS3ZH7OMUCEV

not attested not anchored not stored refs pending

Noether's Theorem and the Willmore Functional

Yann Bernard

arxiv:1409.6894 v1 · 2014-09-24 · 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{WLFD67SN2OZUZGYS3ZH7OMUCEV}

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	2026-05-18T02:42:00.265574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2ca3f7e4dd3b34c9b12de4ff73282257ed530c394e6ffccad0127e1964bb9a0

Aliases

arxiv: 1409.6894 · arxiv_version: 1409.6894v1 · doi: 10.48550/arxiv.1409.6894 · pith_short_12: WLFD67SN2OZU · pith_short_16: WLFD67SN2OZUZGYS · pith_short_8: WLFD67SN

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/WLFD67SN2OZUZGYS3ZH7OMUCEV \
  | 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: b2ca3f7e4dd3b34c9b12de4ff73282257ed530c394e6ffccad0127e1964bb9a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9df9b43e20500751752bd2afa5fac994508ecc1f94c8ac7d8348efaaec456c21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-09-24T10:57:08Z",
    "title_canon_sha256": "e17613d7171e4ec758fa96d8564eca803ccdd8e3d8848255a675b21c2866d035"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6894",
    "kind": "arxiv",
    "version": 1
  }
}