Pith Number

pith:MP63Z575

pith:2012:MP63Z575RULSZBS6GGYD4VB7G4

not attested not anchored not stored refs pending

A note on the uniformity of the constant in the Poincar\'e inequality

David Ruiz

arxiv:1208.6045 v1 · 2012-08-29 · 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{MP63Z575RULSZBS6GGYD4VB7G4}

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	2026-05-18T03:46:46.662504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63fdbcf7fd8d172c865e31b03e543f3708409a6324c9d16cf723dc3909ad6c35

Aliases

arxiv: 1208.6045 · arxiv_version: 1208.6045v1 · doi: 10.48550/arxiv.1208.6045 · pith_short_12: MP63Z575RULS · pith_short_16: MP63Z575RULSZBS6 · pith_short_8: MP63Z575

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/MP63Z575RULSZBS6GGYD4VB7G4 \
  | 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: 63fdbcf7fd8d172c865e31b03e543f3708409a6324c9d16cf723dc3909ad6c35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8ddbbd0b1ab2bc9891a902f1dc4045718281a13f8a28395dd6dc37f3d5c518a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-08-29T22:38:24Z",
    "title_canon_sha256": "c1914364e9407756fb12cc818527d130445dcf60fccc6dd4c5567af381229dad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6045",
    "kind": "arxiv",
    "version": 1
  }
}