Pith Number

pith:FFVUX3SR

pith:2012:FFVUX3SR6AW6OZYJDQERZ6M4QD

not attested not anchored not stored refs pending

The homogeneous Sobolev metric of order one on diffeomorphism groups on the real line

Martin Bauer, Martins Bruveris, Peter W. Michor

arxiv:1209.2836 v3 · 2012-09-13 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFVUX3SR6AW6OZYJDQERZ6M4QD}

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	2026-05-18T02:41:09.236244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

296b4bee51f02de767091c091cf99c80c4d0c6899e95c67c597ed805b1e87b06

Aliases

arxiv: 1209.2836 · arxiv_version: 1209.2836v3 · doi: 10.48550/arxiv.1209.2836 · pith_short_12: FFVUX3SR6AW6 · pith_short_16: FFVUX3SR6AW6OZYJ · pith_short_8: FFVUX3SR

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/FFVUX3SR6AW6OZYJDQERZ6M4QD \
  | 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: 296b4bee51f02de767091c091cf99c80c4d0c6899e95c67c597ed805b1e87b06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1185ad9715f20f7cbc90287b06ba1e63d82296b6265d0243c3349691e022b851",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-13T09:58:14Z",
    "title_canon_sha256": "05e8968eb469b57d912c5d16fc0af17a7d8a09a1f332cb613e9135dd4f2ad724"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2836",
    "kind": "arxiv",
    "version": 3
  }
}