Pith Number

pith:3HRQMV34

pith:2018:3HRQMV34KGLIEDG6ASXVKXBCQK

not attested not anchored not stored refs pending

Positive energy representations of Sobolev diffeomorphism groups of the circle

Sebastiano Carpi, Simone Del Vecchio, Stefano Iovieno, Yoh Tanimoto

arxiv:1808.02384 v3 · 2018-08-07 · math.RT · math-ph · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3HRQMV34KGLIEDG6ASXVKXBCQK}

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	2026-07-05T01:58:06.494571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9e306577c5196820cde04af555c2282a68861f881841c14be7b13874ddc42e5

Aliases

arxiv: 1808.02384 · arxiv_version: 1808.02384v3 · doi: 10.48550/arxiv.1808.02384 · pith_short_12: 3HRQMV34KGLI · pith_short_16: 3HRQMV34KGLIEDG6 · pith_short_8: 3HRQMV34

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/3HRQMV34KGLIEDG6ASXVKXBCQK \
  | 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: d9e306577c5196820cde04af555c2282a68861f881841c14be7b13874ddc42e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3ffb946ab053778165fe3ffb91bf7b39a3a843ac8c956191a04fc361395f8ae",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-08-07T14:11:22Z",
    "title_canon_sha256": "f338602828006fe139a56d8861ee36c58da6dd893a9d6b524396a18e16107803"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02384",
    "kind": "arxiv",
    "version": 3
  }
}