Pith Number

pith:HM5N33PQ

pith:2018:HM5N33PQU5KY7DIW7IPPNNS26W

not attested not anchored not stored refs pending

Degenerate Poincar\'e-Sobolev inequalities

Carlos P\'erez, Ezequiel Rela

arxiv:1805.10388 v2 · 2018-05-25 · 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{HM5N33PQU5KY7DIW7IPPNNS26W}

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	2026-05-17T23:52:18.338908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b3addedf0a7558f8d16fa1ef6b65af5bce12c09c9eb94735d25be51a924cee0

Aliases

arxiv: 1805.10388 · arxiv_version: 1805.10388v2 · doi: 10.48550/arxiv.1805.10388 · pith_short_12: HM5N33PQU5KY · pith_short_16: HM5N33PQU5KY7DIW · pith_short_8: HM5N33PQ

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/HM5N33PQU5KY7DIW7IPPNNS26W \
  | 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: 3b3addedf0a7558f8d16fa1ef6b65af5bce12c09c9eb94735d25be51a924cee0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9264a9c8d2ba5bd80a9bc409f8c29cbb00fbd5e98054a067477f5f40067d11a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-05-25T22:55:09Z",
    "title_canon_sha256": "7667dedafc22777fb6402fec25e40fe0efad388ac6316b6e0635475e75281250"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.10388",
    "kind": "arxiv",
    "version": 2
  }
}