Pith Number

pith:BFZUBUHM

pith:2016:BFZUBUHM5JBHD7KCLLUVFLJ24Z

not attested not anchored not stored refs pending

Fractional Poincar\'e inequality with finite total $Q$-curvature

Yannick Sire, Yi Wang

arxiv:1601.00100 v1 · 2016-01-01 · 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{BFZUBUHM5JBHD7KCLLUVFLJ24Z}

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	2026-05-18T01:23:31.854885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

097340d0ecea4271fd425ae952ad3ae653d866dff6d21edfc29ea01e882bd5f8

Aliases

arxiv: 1601.00100 · arxiv_version: 1601.00100v1 · doi: 10.48550/arxiv.1601.00100 · pith_short_12: BFZUBUHM5JBH · pith_short_16: BFZUBUHM5JBHD7KC · pith_short_8: BFZUBUHM

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/BFZUBUHM5JBHD7KCLLUVFLJ24Z \
  | 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: 097340d0ecea4271fd425ae952ad3ae653d866dff6d21edfc29ea01e882bd5f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "674c646a1488c5e9390d4fc54516b48e4972a34519c8e5142987c25454e96da5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-01-01T18:15:24Z",
    "title_canon_sha256": "89a5252689cb292df4dd52182519e4405ad40ee379b772ffce7b23d4f18f2556"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00100",
    "kind": "arxiv",
    "version": 1
  }
}