pith. sign in
Pith Number

pith:EFY7QUUH

pith:2012:EFY7QUUHFG2D2WTJWESUZZPIOO
not attested not anchored not stored refs pending

On the autonomous metric on the group of area-preserving diffeomorphisms of the 2-disc

Jarek Kedra, Michael Brandenbursky

arxiv:1207.0624 v3 · 2012-07-03 · math.GT · math.GR · math.SG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{EFY7QUUHFG2D2WTJWESUZZPIOO}

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 2026-05-18T02:41:43.053647Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2171f8528729b43d5a69b1254ce5e8739d550e3fc1b1acc2988fe1ebb1e5c825

Aliases

arxiv: 1207.0624 · arxiv_version: 1207.0624v3 · doi: 10.48550/arxiv.1207.0624 · pith_short_12: EFY7QUUHFG2D · pith_short_16: EFY7QUUHFG2D2WTJ · pith_short_8: EFY7QUUH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/EFY7QUUHFG2D2WTJWESUZZPIOO \
  | 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: 2171f8528729b43d5a69b1254ce5e8739d550e3fc1b1acc2988fe1ebb1e5c825
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f44f3f23f3e8e7dbcd4c54692471136b84f381dd8735bc84f22e04c27d6feddd",
    "cross_cats_sorted": [
      "math.GR",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-07-03T09:59:45Z",
    "title_canon_sha256": "36673965289e2664c1a42dff5e63f77b581413f08039ef3c9f6bd4af248f2dde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0624",
    "kind": "arxiv",
    "version": 3
  }
}