Pith Number

pith:UNXIQSW7

pith:2016:UNXIQSW766ZTLRDSCH7VELCAB5

not attested not anchored not stored refs pending

The $L^p$-diameter of the group of area-preserving diffeomorphisms of $S^2$

Egor Shelukhin, Michael Brandenbursky

arxiv:1604.06953 v2 · 2016-04-23 · math.GT · math-ph · math.DG · math.DS · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UNXIQSW766ZTLRDSCH7VELCAB5}

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	2026-05-18T00:20:59.576149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a36e884adff7b335c47211ff522c400f77131c6aa80210452a026e806aa61abb

Aliases

arxiv: 1604.06953 · arxiv_version: 1604.06953v2 · doi: 10.48550/arxiv.1604.06953 · pith_short_12: UNXIQSW766ZT · pith_short_16: UNXIQSW766ZTLRDS · pith_short_8: UNXIQSW7

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/UNXIQSW766ZTLRDSCH7VELCAB5 \
  | 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: a36e884adff7b335c47211ff522c400f77131c6aa80210452a026e806aa61abb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf388d86f70308ae5459cb2bd2da45701ec3c1e88a08f8a7d3576b47be4d2cb6",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.DS",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-04-23T21:00:13Z",
    "title_canon_sha256": "daf429638a5ee96ea736296168b90e2e1b3cde1a9c3ff04d45af3e7f688000f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06953",
    "kind": "arxiv",
    "version": 2
  }
}