Pith Number

pith:PF3UYJFA

pith:2014:PF3UYJFA7V6DC73PLIJTNZ6NPR

not attested not anchored not stored refs pending

The equality case in a Poincar\'e-Wirtinger type inequality

B. Brandolini, C. Trombetti, D. Krej\v{c}i\v{r}\'ik, F. Chiacchio

arxiv:1410.0676 v1 · 2014-10-02 · math.AP · math.OC · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PF3UYJFA7V6DC73PLIJTNZ6NPR}

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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	2026-05-18T00:35:55.901724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79774c24a0fd7c317f6f5a1336e7cd7c6282086aa00b616d904813dada055772

Aliases

arxiv: 1410.0676 · arxiv_version: 1410.0676v1 · doi: 10.48550/arxiv.1410.0676 · pith_short_12: PF3UYJFA7V6D · pith_short_16: PF3UYJFA7V6DC73P · pith_short_8: PF3UYJFA

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/PF3UYJFA7V6DC73PLIJTNZ6NPR \
  | 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: 79774c24a0fd7c317f6f5a1336e7cd7c6282086aa00b616d904813dada055772

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "835505721615e71553b021ae18ff5599e53b886e65098acf57657b9f11d7be37",
    "cross_cats_sorted": [
      "math.OC",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-10-02T13:41:54Z",
    "title_canon_sha256": "3639b812e68e36a8c2c37dfb67b41d58a4e72e084bc810e6f1f3e872cda2dcce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0676",
    "kind": "arxiv",
    "version": 1
  }
}