Pith Number

pith:EYI2UX2X

pith:2011:EYI2UX2XYNQJZD4AZ6BMY5T5XG

not attested not anchored not stored refs pending

Quasi-morphisms and L^p-metrics on groups of volume-preserving diffeomorphisms

Michael Brandenbursky

arxiv:1110.3353 v2 · 2011-10-14 · math.GT · math.DG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EYI2UX2XYNQJZD4AZ6BMY5T5XG}

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	2026-05-18T03:46:31.635247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2611aa5f57c3609c8f80cf82cc767db9b7d96b6f0769a595396e76f91d4b6e05

Aliases

arxiv: 1110.3353 · arxiv_version: 1110.3353v2 · doi: 10.48550/arxiv.1110.3353 · pith_short_12: EYI2UX2XYNQJ · pith_short_16: EYI2UX2XYNQJZD4A · pith_short_8: EYI2UX2X

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/EYI2UX2XYNQJZD4AZ6BMY5T5XG \
  | 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: 2611aa5f57c3609c8f80cf82cc767db9b7d96b6f0769a595396e76f91d4b6e05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef796c53775bd9ffabd43672da0ecc33958f80caa1c73fa0700b90570a2c9a98",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-10-14T22:40:23Z",
    "title_canon_sha256": "0ee1b2aee393a209cc0613c93a44ea0f4af3c68a59fc35dbfe10f62427bac7a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3353",
    "kind": "arxiv",
    "version": 2
  }
}