Pith Number

pith:R3M44CU3

pith:2015:R3M44CU3RFKTT2H263PCUOWK3T

not attested not anchored not stored refs pending

Improved higher order Poincar\'e inequalities on the hyperbolic space via Hardy-type remainder terms

Debdip Ganguly, Elvise Berchio

arxiv:1511.00474 v1 · 2015-11-02 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R3M44CU3RFKTT2H263PCUOWK3T}

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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	2026-05-18T01:28:12.229997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ed9ce0a9b895539e8faf6de2a3acadcf8d037e54d52356fb0b3bc1b26bb93f3

Aliases

arxiv: 1511.00474 · arxiv_version: 1511.00474v1 · doi: 10.48550/arxiv.1511.00474 · pith_short_12: R3M44CU3RFKT · pith_short_16: R3M44CU3RFKTT2H2 · pith_short_8: R3M44CU3

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/R3M44CU3RFKTT2H263PCUOWK3T \
  | 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: 8ed9ce0a9b895539e8faf6de2a3acadcf8d037e54d52356fb0b3bc1b26bb93f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d196c351274b1e3d719e55ef28ae3ea0e68bf8ee373602d1859b512a19030e15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-11-02T12:46:38Z",
    "title_canon_sha256": "2bcff5aa021e1ffb0f5fe7c858d1260e3e80d76c80990b96cb5bff16e1941537"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00474",
    "kind": "arxiv",
    "version": 1
  }
}