Pith Number

pith:CBOQS5JX

pith:2010:CBOQS5JXL2GW4JQ6NQ2PP5FVGH

not attested not anchored not stored refs pending

Extremal functions in Poincare-Sobolev inequalities for functions of bounded variation

Jean Van Schaftingen, Vincent Bouchez

arxiv:1001.4651 v2 · 2010-01-26 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CBOQS5JXL2GW4JQ6NQ2PP5FVGH}

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	2026-05-18T04:19:22.351949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

105d0975375e8d6e261e6c34f7f4b531cd38a522ea85b020ba925c9b96ce4325

Aliases

arxiv: 1001.4651 · arxiv_version: 1001.4651v2 · doi: 10.48550/arxiv.1001.4651 · pith_short_12: CBOQS5JXL2GW · pith_short_16: CBOQS5JXL2GW4JQ6 · pith_short_8: CBOQS5JX

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/CBOQS5JXL2GW4JQ6NQ2PP5FVGH \
  | 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: 105d0975375e8d6e261e6c34f7f4b531cd38a522ea85b020ba925c9b96ce4325

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "880f745e487393a877fc0e4517b1e07449e10813919c91104898b97e4c532c06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-01-26T11:07:29Z",
    "title_canon_sha256": "0435cb398409ab7f10edb4ef593c5ee6d536538618b1e9bdbf87bbb695e360cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4651",
    "kind": "arxiv",
    "version": 2
  }
}