Pith Number

pith:S7TN3MRT

pith:2011:S7TN3MRT2KJHLHTFXN2I5MPQ6Z

not attested not anchored not stored refs pending

The energy functional on the Virasoro-Bott group with the $L^2$-metric has no local minima

Martins Bruveris

arxiv:1106.4326 v3 · 2011-06-21 · math.DG · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S7TN3MRT2KJHLHTFXN2I5MPQ6Z}

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	2026-05-18T02:19:26.018246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97e6ddb233d292759e65bb748eb1f0f6799e1e06b9e6a41b6ab6b8ac216f170c

Aliases

arxiv: 1106.4326 · arxiv_version: 1106.4326v3 · doi: 10.48550/arxiv.1106.4326 · pith_short_12: S7TN3MRT2KJH · pith_short_16: S7TN3MRT2KJHLHTF · pith_short_8: S7TN3MRT

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/S7TN3MRT2KJHLHTFXN2I5MPQ6Z \
  | 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: 97e6ddb233d292759e65bb748eb1f0f6799e1e06b9e6a41b6ab6b8ac216f170c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b692bbc8010149fa68a7b9ef14cc8d6a931f45b28ec857851ae07a864bd4610",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-06-21T20:55:44Z",
    "title_canon_sha256": "69f8dbd83f5f923c57fd96d307b9a0bbd4f50ea0fd62a53539c75d045ace98ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4326",
    "kind": "arxiv",
    "version": 3
  }
}