Pith Number

pith:5PIFHD6Q

pith:2008:5PIFHD6Q3EW3GFRFRC5WFUCWR7

not attested not anchored not stored refs pending

A Sobolev Poincar\'e type inequality for integral varifolds

Ulrich Menne

arxiv:0808.3660 v2 · 2008-08-27 · 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{5PIFHD6Q3EW3GFRFRC5WFUCWR7}

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	2026-05-18T04:05:16.675999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebd0538fd0d92db3162588bb62d0568ff305be853af2c955b631627ebf2aedfb

Aliases

arxiv: 0808.3660 · arxiv_version: 0808.3660v2 · doi: 10.48550/arxiv.0808.3660 · pith_short_12: 5PIFHD6Q3EW3 · pith_short_16: 5PIFHD6Q3EW3GFRF · pith_short_8: 5PIFHD6Q

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/5PIFHD6Q3EW3GFRFRC5WFUCWR7 \
  | 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: ebd0538fd0d92db3162588bb62d0568ff305be853af2c955b631627ebf2aedfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b14beee5c8fa3063283ca89d04381a421e66f06d68b4a70374765ae32239e0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-08-27T09:22:30Z",
    "title_canon_sha256": "7d36c3f89f85ac3070af38695a14690f2b40bdb0c97257f25abc2c1ade89c27c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.3660",
    "kind": "arxiv",
    "version": 2
  }
}