Pith Number

pith:5YYEATX3

pith:2015:5YYEATX3ZNXEVNEELOSEFUZ2YK

not attested not anchored not stored refs pending

The subgroup $PSL(2,R)$ is spherical in the group of diffeomorphisms of the circle

Yury A. Neretin

arxiv:1501.05820 v2 · 2015-01-23 · math.RT · 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{5YYEATX3ZNXEVNEELOSEFUZ2YK}

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	2026-05-18T00:48:20.811063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee30404efbcb6e4ab4845ba442d33ac2af4ee22503632e44f6e3d19eababed31

Aliases

arxiv: 1501.05820 · arxiv_version: 1501.05820v2 · doi: 10.48550/arxiv.1501.05820 · pith_short_12: 5YYEATX3ZNXE · pith_short_16: 5YYEATX3ZNXEVNEE · pith_short_8: 5YYEATX3

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/5YYEATX3ZNXEVNEELOSEFUZ2YK \
  | 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: ee30404efbcb6e4ab4845ba442d33ac2af4ee22503632e44f6e3d19eababed31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcdea7e3528782d0dd6a79756835405e47cba15b4e0e75c0f7477631ec3831f7",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-01-23T14:59:09Z",
    "title_canon_sha256": "c0010980cda891772c19d92d02594c6b9745b886c991afc45526c1a2cbafd574"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05820",
    "kind": "arxiv",
    "version": 2
  }
}